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Q. How much the momentum of a body would increase by increasing the K.E by 300%?...........the ans is 100%.....but could someone please explain to me the method to solve this question.....would appreciate it a lot!
K.E.(original) = 0.5mv^2... let it be 0.5, and the new one be 2
0.5mv^2 = 0.5, mv^2=1, v=root(1/m)
similarly, new v = root(4/m)
mv ( original ) = 1 root(m)
mv ( new ) = 2 root(m)
The new one is double the old one and therefore the increase is 100%.
Notice that the more "formal" way of solving this question is calling the constant ( 0.5 ) that we given to the kinetic energy "k" for example, new one would be "4k". It would lead to the same answer but I guess the other method looks easier.