Question #db371

1 Answer
May 5, 2016

Answer:

56.25%

Explanation:

Momentum is defined as mass times velocity, or #p=mv#

Kinetic energy is given by #KE=1/2mv^2#

We can also write KE as
#KE=1/2mv^2=1/2(mv)^2/m=1/2p^2/m#

So if we take the above equations as the position before the increase, then increase momentum by 25%:

#p=1.25mv#
#KE=1/2(1.25p)^2/m=1/2*p^2/m*1.5625#

So KE will increase by 56.25%