REMARKS The initial velocity component of block 2 is ?2.50 m/s because the block

Question

REMARKS The initial velocity component of block 2 is ?2.50 m/s because the block is moving to the left. The negative value for v2f means that block 2 is still moving to the left at the instant under consideration.

QUESTION Is it possible for both blocks to come to rest while the spring is being compressed? Explain. Hint: Look at the momentum in Equation (1). (Select all that apply.)

Yes, if the ratio of the two initial speeds of the blocks equals the inverse ratio of their masses.

Yes, if the two blocks initially have equal masses.

Yes, if the two blocks initially have initial velocities with equal magnitudes and opposite directions.

No, it is not possible.

Yes, if the two blocks initially have initial momenta with equal magnitudes and opposite

Consider from Equation (1) what total momentum the system must have at the instant when the two blocks would be at rest. Use the equation to find how the masses, velocities, and momenta must be related for that to happen.

Explanation / Answer

Yes, it is possible for both blocks to come to rest while the spring is compressed. This could happen when initial net momentum of the system becomes 0 which could happen when both blocks have equal and opposite momenta. Then following Conservation of Momentum Principle, net final momentum of the system has to be 0, which means that both blocks can be at rest finally for a moment.

Hence correct option: Yes, if the two blocks initially have initial velocities with equal magnitudes and opposite directions (Assuming both blocks have same mass)

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