Question: Problem 4 [ 8 points ] A 2 - k g and a 1 2 - k g mass collide elastically, compressing a spring bumper

Problem

4 [8

points

]

2 - k g

and a

12 - k g

mass collide elastically, compressing a spring bumper on one of them; the bumper returns to its original length after the masses separate. Assume that the collision takes place along a single line and that in the two scenarios considered, each has the same initial energy.

Case A: The

2 -

kg mass has

24

J of kinetic energy and hits the stationary

12 -

kg mass.

Case B: The

12 - k g

mass has

24

J of kinetic energy and hits the stationary

2 - k g

mass.

Which way of causing the collision will result in greater compression in the spring? Are they equivalent? Arrive at your answer without actually solving for the compression of the spring, and be sure to support any claim with the underlying physical principle.

Problem 4 [ 8 points ] A 2 - k g and a 1 2 - k g

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