Two blocks of ice are at rest on a smooth frozen lake. One block is 3 times the

Question

Two blocks of ice are at rest on a smooth frozen lake. One block is 3 times the mass of the other block. A man pushes each block the same distance, d meters with an equal force. Compared to the speed of the heavier block, how fast does the light block move? The velocity of the lighter block is one-third as fast as the velocity of the heavier block. The velocity of the lighter block is half as fast as the velocity of the heavier block. The velocity of the lighter block is the same as the velocIty of the heavier block. The velocity of the lighter block is the square root of three times faster than the velocity of the heavier block. It cannot be determined WHAT out knowing the speed and the mass of each block.

Explanation / Answer

Here,

Using Work energy theorum

change in kinetic energy = work done by the force

change in kinetic energy = Force * distance

as same force acts on the blocks over same distance

the kinetic energy of both blocks will same

0.5 * m1 * v1^2 = 0.5 * m2 * v2^2

m * v1^2 = 3m * v2^2

v1/v2 = sqrt(3)

hence ,the correct option is 4)

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