Part 1 A 3kg mass and a 1kg mass are resting on a smooth horizontal surface and

Question

Part 1

A 3kg mass and a 1kg mass are resting on a smooth horizontal surface and connected by a spring of relaxed length L. Initially, you hold both masses at rest with the spring stretched so that its length is L+Sinit. At time t=0 you release both masses. Assuming that frictional froces exerted on the blocks by the smooth surface are negligible, what is the ratio of the blocks-spring system's kinetic energy to its potentialenergy when the spring's stretch is Sinit/2? Assume that the spring's mass is negligible.

A 1/4

B 1/2
C 1

D 2

E 3
F 4

Part 2

As the blocks-spring system of the previous problem vibrates, what is the ratio of the kinetic energy of the 1kg mass to the 3kg mass?

A 1/9
B 1/4
C 1/12
D 3
E 4
F 9

Explanation / Answer

part 1: D

part 2: E

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