The ball is pushed into a spring, compressing the spring, and then released from

Question

The ball is pushed into a spring, compressing the spring, and then released from rest. The ball travels through a rough patch up a hill and into a second spring, compressing the spring bringing the ball to rest. The ball is A - spring compressed, ball motionless Compute the potential energy of the spring. [Answer at bottom of page.] Compute the work done by friction on the ball as the ball rolls through the rough section. By what length is the second spring compressed when the ball is brought to rest? Answer 44.8 J -19.4 J 0.566m

Explanation / Answer

a) 140*0.82/2 = 44.8 J

b) 0.22*6.0*9.8*1.5cos(180) = -19.4 J

c) A: 19.4 J, 0, 0, 0, 19.4 J

B: 0, 0, 19.4 J, 0, 19.4 J

C: 0, 0, 44.8 - 19.4 = 25.4 J, 0, 25.4 J

D: 0, 0, 25.4 - 6.0*9.8*0.35 = 4.82 J, 20.6 J, 4.82 J

E: 0, 4.82 J, 0, 20.6 J, 4.82 J

d) 4.82 = 30*x2/2, so x = 0.567 m

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