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The graph in the accompanying figure shows the magnitude of the force exerted by

ID: 2261166 • Letter: T

Question

The graph in the accompanying figure shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched. (Figure 1) The graph in the accompanying figure shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched. (Figure 1) The graph in the accompanying figure shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched. (Figure 1) The graph in the accompanying figure shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched. (Figure 1) Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up Provide FeedbackContinue Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up Part A How much work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched.   W =   J   SubmitMy AnswersGive Up   W =   J     W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up Part B How much work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?   W =   J   SubmitMy AnswersGive Up   W =   J     W =   J   SubmitMy AnswersGive Up Provide FeedbackContinue Figure 1 of 1
  W =   J   The graph in the accompanying figure shows the magnitude of the force exerted by a given spring as a function of the distance x the spring is stretched. (Figure 1) How mu ch work is needed to stretch this spring a distance of 3.00cm , starting with it unstretched. How mu ch work is needed to stretch this spring from x1 = 3.00cm to x2 = 6.00cm ?

Explanation / Answer

K = Delta F /Delta X = 50/1 = 50 N/cm = 5000N/m

Workone done = 0.5 kx^2 = 0.5 *5000 *0.03 *0.03 =2.25JJ


b) Work done = 0.5 K *(x1^2 -x2^2) =0.5*5000*(0.06^2 -0.03^2) = 6.75J

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