A ball is attached to the end of a horizontal spring. Assume that the only allow

Question

A ball is attached to the end of a horizontal spring. Assume that the only allowed motion is to either stretch or compress the spring, and you may ignore friction.When you stretch the spring a distance D from rest length, you note that the ball is moving at speed v when the spring returns to its rest length. if you stretch the spring a distance 2d, what is the speed as it returns to its rest length?

=2v

Refer to the same ball/spring setup as above. You stretch the spring a distance D and release it. At what displacement is the system's mechanical energy half kinetic and half potential?

A)D

B)D/2

C)Between D and D/2

D)Between D/2 and zero

E)None of these

Explanation / Answer

PE = KE...

(1/2)*m*w^2*y^2 = (1/2)*m*w^2*(D^2-y^2)...

y^2 = D^2-y^2...

2*y^2 = D^2...

y^2 = D^2/2...

y = D/sqrt(2) = D/1.414 = 0.707 D.....

so option is C)Between D and D/2

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