Question

For the same change in kinetic energy of a body, what should be the change in velocity if the mass is halved?​

Answer 1

The velocity should be halved

Initial mass, m1​=m, initial velocity=v1​

Final mass, m2​=4m, final velocity=v2​

So, for kinetic energy to remain constant,

1/2m1v1² =1/2m2v2²

1/2mv1² = 1/2×4m×v2²

or, v2²=1/4v1²

or, v2​= 1/2v1

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