Question

two bodies of masses 4kg and 16kg are at rest. The ratio of times for which the same force must act on them to produce the same kinetic energy in both of them is​

Answer 1

Answer:

1:4

Explanation:

kinetic energy is given by:

so taking velocity for mass 1kg as v

1

, we get

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

given that e

1

=e

2

,

equating the above terms and simplifying, we get,

now , momentum is given by,

let us assume ,p

1

as momentum for mass 1kg and p

2

for mass 4kg

so ,

p

1

=1×v

1

and p

2

=4×v

2

then,

p

2

p

1

=

4

1

=1:4