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In the figure below, block 1 (mass 2.2 kg) is moving rightward at 8 m/s and bloc

ID: 2140496 • Letter: I

Question

In the figure below, block 1 (mass 2.2 kg) is moving rightward at 8 m/s and block 2 (mass 4.0 kg) is moving rightward at 2.8 m/s. The surface is frictionless, and a spring with spring constant of 1160 N/m is fixed to block 2. When the blocks collide, the compression of the spring is maximum at the instant the blocks have the same velocity. Find the maximum compression.
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In the figure below, block 1 (mass 2.2 kg) is moving rightward at 8 m/s and block 2 (mass 4.0 kg) is moving rightward at 2.8 m/s. The surface is frictionless, and a spring with spring constant of 1160 N/m is fixed to block 2. When the blocks collide, the compression of the spring is maximum at the instant the blocks have the same velocity. Find the maximum compression.

Explanation / Answer

As there are no external force, momentum will remain conserved.
So final equal velocity = (2.2*8 + 4*2.8) / 6.2 = 4.64516129032 m/s