Question

If the momentum of a body increases by 10% then its kinetic engery will increase by?

Answer 1

Answer:

If one increases the momentum by 10% the kinetic energy will naturally increase. so one can say that the KE will increase by 21%. Momentum = velocity × mass.

Answer 2

Answer:

21% increase of kinetic energy

Explanation:

Kinetic energy = Momentum² / 2m......

p ' = 1.10p  (increased by 10%)

K.E ' = p'²/2m = (1.10p)²/2m......

To find % increase of K.E

K.E ' - K.E/K.E = [(1.10p)² / 2m - p² / 2m] / p² / 2m

K.E ' - K.E/K.E = (1.21-1)p² / p²

K.E ' - K.E/K.E = 0.21

% increase in K.E = 0.21 x 100 = 21%

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