<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ps0" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">How To: Answering Course Questions</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@about:ps0_0"> <div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@html+block@about:ps0_0" data-block-type="html" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "HTMLModule"} </script> <h2>How To: Answering course questions</h2><p>This course contains a variety of questions for you to answer to help you learn the material and test your understanding. Your answers will be checked and you will be provided with instant feedback. The questions require you to enter answers in a variety of formats. This introduction is designed to help you get familiar with using the MITx system to submit answers to the various question types.</p> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ps0:1" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">Multiple Choice</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_about_ps0_1" class="problems-wrapper" role="group" aria-labelledby="about_ps0_1-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;about_ps0_1-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Multiple Choice Questions &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_1-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;p&gt; One type of problem you will see is short multiple choice questions usually on basic concepts to check your understanding. Simply click the button next to the right answer. Some questions will have more than one correct answer in the list. In these cases with multiple correct answers, you will be told explicitly to select all the correct options.&lt;/p&gt; &lt;p&gt;You can change your selection as many times as you want, only the one (or ones) marked when you click the Check button will be graded. For single answer questions, simply select a different option to change your answer. For multi-answer cases, you can click an option you already selected to &#34;unselect&#34; it.&lt;/p&gt; &lt;p&gt;In some instances, you will only be given a few attempts on multiple choice questions, so use them wisely! If present, this restriction will always be clearly noted next to the Check button. For the purpose of this exercise, we have given you an infinite number of attempts to experiment with this type of question. &lt;br/&gt;&lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bf&#34;&gt;(a)&lt;/b&gt; Which year is commonly referred to as the &lt;i class=&#34;it&#34;&gt;Annus Mirabilis&lt;/i&gt; in Einstein&#39;s career? (Hint: Clicking on &#34;Show Answer&#34; will show you the answer. For real assignments, answers are locked until the due date, after which you will be able to show answers.) &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div class=&#34;choicegroup capa_inputtype&#34; id=&#34;inputtype_about_ps0_1_2_1&#34;&gt; &lt;fieldset aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_about_ps0_1_2_1&#34; id=&#34;input_about_ps0_1_2_1_choice_1&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_1&#34;/&gt;&lt;label id=&#34;about_ps0_1_2_1-choice_1-label&#34; for=&#34;input_about_ps0_1_2_1_choice_1&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;text&gt; 1879&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_about_ps0_1_2_1&#34; id=&#34;input_about_ps0_1_2_1_choice_2&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_2&#34;/&gt;&lt;label id=&#34;about_ps0_1_2_1-choice_2-label&#34; for=&#34;input_about_ps0_1_2_1_choice_2&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;text&gt; 1955&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_about_ps0_1_2_1&#34; id=&#34;input_about_ps0_1_2_1_choice_3&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_3&#34;/&gt;&lt;label id=&#34;about_ps0_1_2_1-choice_3-label&#34; for=&#34;input_about_ps0_1_2_1_choice_3&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;text&gt; 1905&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_about_ps0_1_2_1&#34; id=&#34;input_about_ps0_1_2_1_choice_4&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_4&#34;/&gt;&lt;label id=&#34;about_ps0_1_2_1-choice_4-label&#34; for=&#34;input_about_ps0_1_2_1_choice_4&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;text&gt; 1927&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;div class=&#34;field&#34;&gt; &lt;input type=&#34;radio&#34; name=&#34;input_about_ps0_1_2_1&#34; id=&#34;input_about_ps0_1_2_1_choice_5&#34; class=&#34;field-input input-radio&#34; value=&#34;choice_5&#34;/&gt;&lt;label id=&#34;about_ps0_1_2_1-choice_5-label&#34; for=&#34;input_about_ps0_1_2_1_choice_5&#34; class=&#34;response-label field-label label-inline&#34; aria-describedby=&#34;status_about_ps0_1_2_1&#34;&gt; &lt;text&gt; 1921&lt;/text&gt; &lt;/label&gt; &lt;/div&gt; &lt;span id=&#34;answer_about_ps0_1_2_1&#34;/&gt; &lt;/fieldset&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_1_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt; Another format for multiple choice answers is a pull-down menu. Click and hold on the up/down arrows, scroll to the right answer and release the mouse button.&lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bf&#34;&gt;(b)&lt;/b&gt; In what year was Einstein born? &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 2&#34; role=&#34;group&#34;&gt;&lt;div class=&#34;inputtype option-input &#34;&gt; &lt;select name=&#34;input_about_ps0_1_3_1&#34; id=&#34;input_about_ps0_1_3_1&#34; aria-describedby=&#34;status_about_ps0_1_3_1&#34;&gt; &lt;option value=&#34;option_about_ps0_1_3_1_dummy_default&#34;&gt;Select an option&lt;/option&gt; &lt;option value=&#34;1879&#34;&gt; 1879&lt;/option&gt; &lt;option value=&#34;1955&#34;&gt; 1955&lt;/option&gt; &lt;option value=&#34;1905&#34;&gt; 1905&lt;/option&gt; &lt;option value=&#34;1927&#34;&gt; 1927&lt;/option&gt; &lt;option value=&#34;1921&#34;&gt; 1921&lt;/option&gt; &lt;/select&gt; &lt;div class=&#34;indicator-container&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_1_3_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/div&gt; &lt;p class=&#34;answer&#34; id=&#34;answer_about_ps0_1_3_1&#34;/&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Multiple Choice Questions&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_about_ps0_1&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_about_ps0_1&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_1-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_1-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_1-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> </div> </div>

<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ps0:2" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">Numerical Questions</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_about_ps0_2" class="problems-wrapper" role="group" aria-labelledby="about_ps0_2-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;about_ps0_2-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Numerical Questions &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_2-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(a)&lt;/b&gt; Sometimes you will be asked questions which require an exact numerical answer. In this case, the &#34;tolerance&#34; (how much your answer can deviate from the correct one) is set to 0. For example, in which year was the &lt;i class=&#34;it&#34;&gt;Magna Carta&lt;/i&gt; originally issued? (Hints: Your answer will not be checked until you hit the &#34;Check&#34; button at the bottom of the page. Simply entering the answer and hitting return will not check your answer. Clicking on the &#34;Show Answer&#34; button will show you the answer. For real assignments, answers are locked until the due date or when you answer all parts correctly,, after which you will be able to click on &#34;Show Answer&#34; and see the correct responses.)&lt;/p&gt; &lt;p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_2_2_1&#34; class=&#34; capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_2_2_1&#34; id=&#34;input_about_ps0_2_2_1&#34; aria-describedby=&#34;status_about_ps0_2_2_1&#34; value=&#34;&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_2_2_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_2_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_2_2_1&#34; class=&#34;answer&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(b)&lt;/b&gt; Other times, you will be asked for the numerical solution of a problem. For example, a car is moving at a constant velocity of 50 miles per hour. What is the distance in meters covered by the car in 1 hour? The system only accepts a number (or numerical formula) for this type of questions, so do not include the unit(s)! (If you are required to give your answer in particular units, those will be listed beside the input box. In this case, the question explicitly mentions &#34;meters&#34; and so the required units are obvious.)&lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 2&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_2_3_1&#34; class=&#34; capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_2_3_1&#34; id=&#34;input_about_ps0_2_3_1&#34; aria-describedby=&#34;status_about_ps0_2_3_1&#34; value=&#34;&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_2_3_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_2_3_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_2_3_1&#34; class=&#34;answer&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt;As mentioned above, you can enter either a number or a numerical formula. For example, try entering 50*5280*12*2.54/100 for this problem. More details about entering different types of formulas can be found in the next question in this sample PSet.&lt;/p&gt; &lt;p&gt;Note that for questions like this the system is programmed to accept an approximate answer to avoid rounding errors. For example, this specific question has a tolerance of 5%. Try varying your answer up and down (one easy way would be using the formula version and changing the 100 at the end to 103 or 106) to see how this works.&lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(c)&lt;/b&gt; Very often, you will have to type in numbers in scientific notation. Example: What is the numerical value of Newton&#39;s constant G? The current accepted value is [mathjaxinline]6.67384(80)\times 10^{-11}[/mathjaxinline] m[mathjaxinline]^3[/mathjaxinline] kg[mathjaxinline]^{-1}[/mathjaxinline] s[mathjaxinline]^{-2}[/mathjaxinline]. (Note that the &#34;(80)&#34; indicates the current experimental uncertainty, i.e. [mathjaxinline]\pm[/mathjaxinline]0.00080)&lt;/p&gt; &lt;p&gt;One valid way to answer is with a number in scientific notation using the format: X.XXe+/-nn where X.XX is a decimal number (which can have as many digits both before and after the decimal point as you want), &#34;e&#34; can be upper or lower case, and &#34;nn&#34; is the exponent of the 10 which is always an integer. Note that the &#34;+&#34; is assumed if you just enter something like &#34;e5&#34; but &#34;e+5&#34; is also OK. For example, in this case you would enter 6.67e-11 to give the correct answer. Also note that while they are sometimes OK, you should always avoid having any blank spaces or other symbols when using this notation.&lt;/p&gt; &lt;p&gt;The answer can also be entered as a &lt;i class=&#34;it&#34;&gt;numerical&lt;/i&gt; formula (i.e. a formula but with only numbers, no symbols) such as 6.67*10^(-11) or 2*3.33*10^(-5)*10^(-6). More details about entering different types of formulas can be found in the next question in this sample PSet.&lt;/p&gt; &lt;p&gt; Enter your answer: &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 3&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_2_4_1&#34; class=&#34; capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_2_4_1&#34; id=&#34;input_about_ps0_2_4_1&#34; aria-describedby=&#34;status_about_ps0_2_4_1&#34; value=&#34;&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_2_4_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_2_4_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_2_4_1&#34; class=&#34;answer&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; Notice that the interpreter will tell you if it does not recognize the symbols you entered. To see this, please try answering 6.67*10^{-11} where the error message you get indicates that the system does not accept curly brackets. This question also has a tolerance of 5% so try varying your answer up and down to see what happens.&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Numerical Questions&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_about_ps0_2&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_about_ps0_2&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. 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<div class="xblock xblock-public_view xblock-public_view-vertical" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@vertical+block@vert-ps0:3" data-block-type="vertical" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="False" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="VerticalStudentView" data-runtime-class="LmsRuntime" data-runtime-version="1"> <h2 class="hd hd-2 unit-title">Formula Response and Drag and Drop</h2> <div class="vert-mod"> <div class="vert vert-0" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_about_ps0_3" class="problems-wrapper" role="group" aria-labelledby="about_ps0_3-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;about_ps0_3-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Formula Questions &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@about_ps0_3-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;span&gt; &lt;p&gt; Often you will be asked questions requiring you to enter a formula for the answer. Here are some examples: &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(a)&lt;/b&gt; What is the magnitude of of the gravitational attraction on [mathjaxinline]m[/mathjaxinline] caused by a mass [mathjaxinline]M[/mathjaxinline] located at a distance [mathjaxinline]r[/mathjaxinline]? Express your answer in terms of [mathjaxinline]M[/mathjaxinline], [mathjaxinline]m[/mathjaxinline], [mathjaxinline]r[/mathjaxinline], and the gravitational constant [mathjaxinline]G[/mathjaxinline]. &lt;br/&gt;Examples of valid answers are G*M*m/r^2, G/r^2*M*m , (G*M*m)/r^2. &lt;/p&gt; &lt;p&gt;&lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_2_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_2_1&#34; id=&#34;input_about_ps0_3_2_1&#34; aria-describedby=&#34;status_about_ps0_3_2_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_2_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_2_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_2_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_2_1_dynamath&#34; name=&#34;input_about_ps0_3_2_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; Note that: &lt;/p&gt; &lt;ul class=&#34;itemize&#34;&gt; &lt;li&gt; &lt;p&gt; As you type the answer, you will be able to see an interpretation of the mathematical expression you have entered in the box below. Make sure the expression looks like the answer that you intend (but see the warning below about multplying two quantities). &lt;/p&gt; &lt;/li&gt; &lt;li&gt; &lt;p&gt; Capitalization is important! For example, if you type g*M*m/r^2, the answer is considered wrong. &lt;/p&gt; &lt;/li&gt; &lt;li&gt; &lt;p&gt; Always use * to indicate multiplication. The system will not accept GMm/r^2. This needs to be included between two numbers &#34;2*2&#34; or two variables &#34;G*M&#34; or a number and a variable &#34;2*M&#34;. When you do this correctly, the &#34;times&#34; will appear in the box below where you type as a dot. Also, as a good practice, do not use spaces to represent multiplication (On occasions, the answer will be accepted, but most of the time it will generate an error message).&lt;/p&gt; &lt;p&gt;This is probably the most common error that students make and the typical system response &#34;Invalid input: GMm r not permitted in answer.&#34; is not particularly intuitive.&lt;/p&gt; &lt;/li&gt; &lt;li&gt; &lt;p&gt; Another error you will frequently see when you have entered something wrong is &#34;Invalid input: Could not parse &#39;your answer&#39; as a formula&#34;. &lt;/p&gt; &lt;/li&gt; &lt;li&gt; &lt;p&gt; Note that including some variable which is not part of the answer will also generate an &#34;Invalid input&#34; message. In some cases, this can be an important hint about what is wrong with your calculation!&lt;/p&gt; &lt;/li&gt; &lt;li&gt; &lt;p&gt; You can use parentheses in your expression, but make sure you close all of them. An error message will appear if you have mismatched parentheses, for example try: (G*m*M/r^2 &lt;/p&gt; &lt;/li&gt; &lt;/ul&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(b)&lt;/b&gt; Some equations will contain indices. Use underscore &#34;_&#34;. Example: enter the expression [mathjaxinline]x_0 +\frac{1}{2}a(t_1-t_0)^2[/mathjaxinline] below: One example of a valid answer is x_0+1/2*a*(t_1-t_0)^2, x_0+0.5*a*(t_1-t_0)^2. &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 2&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_3_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_3_1&#34; id=&#34;input_about_ps0_3_3_1&#34; aria-describedby=&#34;status_about_ps0_3_3_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_3_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_3_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_3_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_3_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_3_1_dynamath&#34; name=&#34;input_about_ps0_3_3_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(c)&lt;/b&gt; Some equations will contain Greek letters which you can enter by spelling them out. Example: according to Gauss&#39;s Law, what is the electric flux over a given closed surface area in terms of the charge enclosed [mathjaxinline]q_\text{e}[/mathjaxinline], the total charge [mathjaxinline]q_\text{t}[/mathjaxinline] and [mathjaxinline]\epsilon _0[/mathjaxinline]? An example of a valid answer is q_e/epsilon_0. &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 3&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_4_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_4_1&#34; id=&#34;input_about_ps0_3_4_1&#34; aria-describedby=&#34;status_about_ps0_3_4_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_4_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_4_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_4_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_4_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_4_1_dynamath&#34; name=&#34;input_about_ps0_3_4_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(d)&lt;/b&gt; Another example is the following: What is the charge contained on an area [mathjaxinline]A[/mathjaxinline] of a plane with uniform surface density [mathjaxinline]\sigma[/mathjaxinline]? The correct answer is sigma*A. &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 4&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_5_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_5_1&#34; id=&#34;input_about_ps0_3_5_1&#34; aria-describedby=&#34;status_about_ps0_3_5_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_5_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_5_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_5_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_5_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_5_1_dynamath&#34; name=&#34;input_about_ps0_3_5_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bfseries&#34;&gt;(e)&lt;/b&gt; Often you will be asked to insert answers that contains functions like square roots, natural logarithms, etc. As an example, the following equation &lt;/p&gt; &lt;table id=&#34;a0000000002&#34; cellpadding=&#34;7&#34; width=&#34;100%&#34; cellspacing=&#34;0&#34; class=&#34;eqnarray&#34; style=&#34;table-layout:auto&#34;&gt; &lt;tr id=&#34;a0000000003&#34;&gt; &lt;td style=&#34;width:40%&#34;&gt;&amp;#160;&lt;/td&gt; &lt;td style=&#34;vertical-align:middle; text-align:right&#34;&gt; [mathjaxinline]\displaystyle \sqrt {\frac{3+\ln (r/z)}{4}}[/mathjaxinline] &lt;/td&gt; &lt;td style=&#34;width:40%&#34;&gt;&amp;#160;&lt;/td&gt; &lt;td style=&#34;width:20%&#34; class=&#34;eqnnum&#34;&gt;&amp;#160;&lt;/td&gt; &lt;/tr&gt; &lt;/table&gt; &lt;p&gt; can be inserted as sqrt((3+ln(r/z))/4). &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 5&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_6_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_6_1&#34; id=&#34;input_about_ps0_3_6_1&#34; aria-describedby=&#34;status_about_ps0_3_6_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_6_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_6_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_6_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_6_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_6_1_dynamath&#34; name=&#34;input_about_ps0_3_6_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; Other common functions include sin(), cos(), tan(), arcsin(), arccos(), and arctan() (arc means inverse). Important note: Trig functions of a symbol can be simple written as something like &#34;tan(theta)&#34; but when entering a trig function of a number such as the tangent of 45 degrees, the arguement of the trig function must be in &lt;b&gt;radians&lt;/b&gt; not degrees. Since 180 degrees is [mathjax]\pi[/mathjax] radians, you can convert degrees to radians most easily by multiplying by [mathjax]\pi/180[/mathjax], so tan(45*pi/180).&lt;/p&gt; &lt;p&gt;&lt;b class=&#34;bf&#34;&gt;NATURAL CONSTANTS&lt;/b&gt; In the various problem sets, you might need to use &lt;i class=&#34;it&#34;&gt;natural constants&lt;/i&gt;, which are represented by the following symbols (only a small selection is shown): [mathjaxinline]\epsilon _0[/mathjaxinline], [mathjaxinline]\mu _0[/mathjaxinline], the speed of light in vacuum [mathjaxinline]c[/mathjaxinline], [mathjaxinline]\pi[/mathjaxinline], and the gravitational constant [mathjaxinline]G[/mathjaxinline]. Try the following string: [mathjaxinline]\epsilon _0\, \mu _0\, c\, \pi \, G[/mathjaxinline] which can be entered by typing epsilon_0*mu_0*c*pi*G. &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 6&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_about_ps0_3_7_1&#34; class=&#34;text-input-dynamath capa_inputtype textline&#34;&gt; &lt;div class=&#34;unanswered &#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_about_ps0_3_7_1&#34; id=&#34;input_about_ps0_3_7_1&#34; aria-describedby=&#34;status_about_ps0_3_7_1&#34; value=&#34;&#34; class=&#34;math&#34; size=&#34;40&#34;/&gt; &lt;span class=&#34;trailing_text&#34; id=&#34;trailing_text_about_ps0_3_7_1&#34;/&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_about_ps0_3_7_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;p id=&#34;answer_about_ps0_3_7_1&#34; class=&#34;answer&#34;/&gt; &lt;div id=&#34;display_about_ps0_3_7_1&#34; class=&#34;equation&#34;&gt;`{::}`&lt;/div&gt; &lt;textarea style=&#34;display:none&#34; id=&#34;input_about_ps0_3_7_1_dynamath&#34; name=&#34;input_about_ps0_3_7_1_dynamath&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; We will always tell you what symbols can be used in a formula question, and also how to enter them (in the case of Greek letters, for example).&lt;/p&gt; &lt;p&gt;Note that for formula questions, the system does not require you to enter the formula exactly the same way as the answer which the instructors have entered in the coding for the problem. If the expression you enter is formatted correctly and is mathematically equivalent to the expected expression, then the answer will be marked as correct.&lt;/p&gt; &lt;/span&gt; &lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Formula Questions&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_about_ps0_3&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_about_ps0_3&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_3-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_3-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;about_ps0_3-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> <div class="vert vert-1" data-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2"> <div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-usage-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2" data-block-type="problem" data-graded="False" data-course-id="course-v1:MITx+8.01.1x+3T2018" data-has-score="True" data-request-token="fea514fe84be11ef8f28023e4242adeb" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime" data-runtime-version="1"> <script type="json/xblock-args" class="xblock-json-init-args"> {"xmodule-type": "Problem"} </script> <div id="problem_exampleentry1-2" class="problems-wrapper" role="group" aria-labelledby="exampleentry1-2-problem-title" data-problem-id="block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2" data-url="/courses/course-v1:MITx+8.01.1x+3T2018/xblock/block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2/handler/xmodule_handler" data-problem-score="0" data-problem-total-possible="0" data-attempts-used="0" data-content=" &lt;h3 class=&#34;hd hd-3 problem-header&#34; id=&#34;exampleentry1-2-problem-title&#34; aria-describedby=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2-problem-progress&#34; tabindex=&#34;-1&#34;&gt; Drag and Drop &lt;/h3&gt; &lt;div class=&#34;problem-progress&#34; id=&#34;block-v1:MITx+8.01.1x+3T2018+type@problem+block@exampleentry1-2-problem-progress&#34;&gt;&lt;/div&gt; &lt;div class=&#34;problem&#34;&gt; &lt;div&gt; &lt;p&gt;Sometimes rather than having you enter formulas we will use drag-and-drop of components to put together a valid formula. You simply need to drag the various parts of the formula to the correct places. &lt;/p&gt; &lt;p&gt;Using the drag-and-drop below, enter the formula&lt;/p&gt; &lt;p&gt;\(\frac{\mathrm{d}^2 \psi }{\mathrm{d}x^2} \, = \, \frac{2m}{\hbar^2} \left [ V(x) - E \right ] \, \psi (x)\)&lt;/p&gt; &lt;div class=&#34;wrapper-problem-response&#34; tabindex=&#34;-1&#34; aria-label=&#34;Question 1&#34; role=&#34;group&#34;&gt;&lt;div id=&#34;inputtype_exampleentry1-2_2_1&#34; class=&#34;capa_inputtype&#34;&gt; &lt;div class=&#34;drag_and_drop_problem_div&#34; id=&#34;drag_and_drop_div_exampleentry1-2_2_1&#34; data-plain-id=&#34;exampleentry1-2_2_1&#34;&gt; &lt;/div&gt; &lt;div class=&#34;drag_and_drop_problem_json&#34; id=&#34;drag_and_drop_json_exampleentry1-2_2_1&#34; style=&#34;display:none;&#34;&gt;{&#34;target_outline&#34;: &#34;false&#34;, &#34;draggables&#34;: [{&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/fdcc39b7a189f686b3f734bff3ef6637/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label1.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;A&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/21404e54adc90e3e35ac950fbdf6e5fb/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label2.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;B&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/9dfa2989e3cb061ab0d8bf49be22966b/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label3.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;C&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/7ca1afb6b7f22f3cd53146844b5a4b99/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label4.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;D&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/1164e519d80aaf5e7c19e59f474c1c90/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label5.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;E&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/b3ffae5f91ad61dd30715b9e0e73c667/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label6.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;F&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/d0097fb428c787331be33bd8645132aa/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label7.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;G&#34;}, {&#34;target_fields&#34;: [], &#34;icon&#34;: &#34;/assets/courseware/v1/80baf7fa0fce619f5236f2881369c089/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd_label8.png&#34;, &#34;label&#34;: &#34;&#34;, &#34;can_reuse&#34;: &#34;&#34;, &#34;id&#34;: &#34;H&#34;}], &#34;one_per_target&#34;: &#34;true&#34;, &#34;label_bg_color&#34;: &#34;rgb(222, 139, 238)&#34;, &#34;targets&#34;: [{&#34;w&#34;: &#34;79&#34;, &#34;id&#34;: &#34;1&#34;, &#34;h&#34;: &#34;74&#34;, &#34;x&#34;: &#34;67&#34;, &#34;y&#34;: &#34;10&#34;}, {&#34;w&#34;: &#34;79&#34;, &#34;id&#34;: &#34;2&#34;, &#34;h&#34;: &#34;74&#34;, &#34;x&#34;: &#34;215&#34;, &#34;y&#34;: &#34;69&#34;}, {&#34;w&#34;: &#34;79&#34;, &#34;id&#34;: &#34;3&#34;, &#34;h&#34;: &#34;74&#34;, &#34;x&#34;: &#34;344&#34;, &#34;y&#34;: &#34;10&#34;}, {&#34;w&#34;: &#34;79&#34;, &#34;id&#34;: &#34;4&#34;, &#34;h&#34;: &#34;74&#34;, &#34;x&#34;: &#34;481&#34;, &#34;y&#34;: &#34;10&#34;}], &#34;base_image&#34;: &#34;/assets/courseware/v1/26f2ccf8be23f56ab43279cd61ba8f18/asset-v1:MITx+8.01.1x+3T2018+type@asset+block/images_example_dnd_example_dnd_dnd.png&#34;}&lt;/div&gt; &lt;div class=&#34;script_placeholder&#34; data-src=&#34;/static/js/capa/drag_and_drop.a31124208b9b.js&#34;/&gt; &lt;div class=&#34;unanswered&#34; id=&#34;status_exampleentry1-2_2_1&#34;&gt; &lt;input type=&#34;text&#34; name=&#34;input_exampleentry1-2_2_1&#34; id=&#34;input_exampleentry1-2_2_1&#34; aria-describedby=&#34;answer_exampleentry1-2_2_1&#34; value=&#34;&#34; style=&#34;display:none;&#34;/&gt; &lt;p class=&#34;indicator-container drag-and-drop--status&#34; aria-describedby=&#34;input_exampleentry1-2_2_1&#34;&gt; &lt;span class=&#34;status unanswered&#34; id=&#34;status_exampleentry1-2_2_1&#34; data-tooltip=&#34;Not yet answered.&#34;&gt; &lt;span class=&#34;sr&#34;&gt;unanswered&lt;/span&gt;&lt;span class=&#34;status-icon&#34; aria-hidden=&#34;true&#34;/&gt; &lt;/span&gt; &lt;/p&gt; &lt;p id=&#34;answer_exampleentry1-2_2_1&#34; class=&#34;answer&#34;/&gt; &lt;/div&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;solution-span&#34;&gt; &lt;span id=&#34;solution_exampleentry1-2_solution_1&#34;/&gt; &lt;/div&gt;&lt;/div&gt; &lt;div class=&#34;action&#34;&gt; &lt;input type=&#34;hidden&#34; name=&#34;problem_id&#34; value=&#34;Drag and Drop&#34; /&gt; &lt;div class=&#34;submit-attempt-container&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;submit btn-brand&#34; data-submitting=&#34;Submitting&#34; data-value=&#34;Submit&#34; data-should-enable-submit-button=&#34;True&#34; aria-describedby=&#34;submission_feedback_exampleentry1-2&#34; &gt; &lt;span class=&#34;submit-label&#34;&gt;Submit&lt;/span&gt; &lt;/button&gt; &lt;div class=&#34;submission-feedback&#34; id=&#34;submission_feedback_exampleentry1-2&#34;&gt; &lt;span class=&#34;sr&#34;&gt;Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.&lt;/span&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;problem-action-buttons-wrapper&#34;&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-gentle-alert is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-exclamation-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;exampleentry1-2-problem-title&#34;&gt; &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification warning notification-save is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-save&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;exampleentry1-2-problem-title&#34;&gt;None &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;div class=&#34;notification general notification-show-answer is-hidden&#34; tabindex=&#34;-1&#34;&gt; &lt;span class=&#34;icon fa fa-info-circle&#34; aria-hidden=&#34;true&#34;&gt;&lt;/span&gt; &lt;span class=&#34;notification-message&#34; aria-describedby=&#34;exampleentry1-2-problem-title&#34;&gt;Answers are displayed within the problem &lt;/span&gt; &lt;div class=&#34;notification-btn-wrapper&#34;&gt; &lt;button type=&#34;button&#34; class=&#34;btn btn-default btn-small notification-btn review-btn sr&#34;&gt;Review&lt;/button&gt; &lt;/div&gt; &lt;/div&gt; &lt;/div&gt; " data-graded="False"> <p class="loading-spinner"> <i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i> <span class="sr">Loading&hellip;</span> </p> </div> </div> </div> </div> </div>