Question

If momentum of an object is increased by 10% then its kinetic energy will increase by ??

Answer 1

ANSWER :-
It will be increased by 21%.

Let the initial mass of the body be m and its velocity be v.

Initial momentum of the body = mv
Initial KE = mv^2 /2
If the momentum increases by 10%, then new momentum = mv + 10% of mv.
=> mv + 10/100mv
=> mv + mv/10
=>11mv/10
=>m(11v/10)
New velocity = 11v/10
Increase in velocity = v/10
New KE = m(11v/10)^2 /2
=> 121/100mv^2/2
Therefore increase in KE = 21%.

Answer 2

Answer:

the kinetic energy will increase by 21%