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Mai Ph Chapte x Search https/fs mastering physics com /myctitem View? offset EnextRassignmen oblem 74129700 PHYS 1401-307 College Physics Chapter 7 Homervork Problem 7.68 previOUS Problem 7.68 Part A A compound bow in archery allows the user to hold the bowstring at full draw How much work does the archer do on the bow in order to draw the string from z 0 to 0.60 m? with considerably less force than the maximum force exerted by the string. The Express your answer to three significant figures and include appropriate units. draw force as a function of the string position z for a particular compound bow is shown in Figure 1 Figure v of 1 Value Units 400 350 Submit My Answers Give Up 300 Part B z 250 lf all of his work becomes the kinetic energy of a 0 arrow what is the speed of the a 200 Express your answer to two significant figures and include appropriate units, 150 100 Value Units 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Submit My Answers Give Up String position, x (m) Continue de eedback 509 PM Ask me anything

Explanation / Answer

Consider in F-x graph

Show work done is the area under the curve

A) W = A1+A2+A3

Use this formula

A1 = area from x = 0 to x = 0.2 ( triangle )

A1 = 0.5*b*h = 0.5*0.2*350 = 35 J

A2 = area from x = 0.2 to x = 0.5 m

A2 = (0.6-0.2)*(350-100) = 100 J

A3 = area from x = 0.5 to x = 0.6

A3 = 0.5*b*h = 0.5*0.1*(350-100) = 12.5 J

then required work done is W = 35+100+12.5 = 147.5 J

B) Using Work energy theorem

Work done by the force = change in KE

147.5 = 0.5*m*v^2 = 0.5*0.08*v^2

v = 60.72 m/sec

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