Question

Two bodies of mass 4kg and 16kg are at rest. The ratio of times taken for which the same force must act on them to produce same kinetic energy

Answer 1

kinetic energy is given by:

so taking velocity for mass 1kg as v1, we get

and taking velocity for mass 4kg as v1, we have

given that e1 = e2, so

equating the above terms and simplifying, we get

or

now , momentum is given by

let us assume , p1 as momentum for mass 1kg and p2 for mass 4kg

so

p1 = 1 × v1

and p2 = 4×v2

and

so we have

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Answer 2

I think it is 1:2.....