Question

if the momentum of an object is increased by 10% then its kinetic energy will increase by.....

Answer 1

Kinetic energy is directly proportional to momentum if we will increase the kinteic energy the momentum also increses

Answer 2

there is a formula relating kinetic energy 'k' and momentum 'p' as follows:
k=p²/2m
so,when momentum is increased by 10%, p'=1.1p  (100%p+10%p=110%p)
so, the kinetic energy becomes, k'=(p')²/2m
                                                      =(1.1p)²/2m
                                                      =1.21p²/2m
                                                      =1.21k
that is, the kinetic energy increases by 21%
hope it helps..