Two bodies of different masses are moving with same momentum. Which has a greater kinetic energy?
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momentum = mv
since masses are different. this implies velocities will also be different
KE=1/2mv² or..
p²/2m. (p= momentum)
let the object with greater mass be A and lesser be B .
the numerator for both the objects in the equation p²/2m will be the same because momentum is equal.
for the object A the denominator will be greater than object B.
meaning the fraction of object B is greater
THEREFORE OBJECT WITH LESSER MASS HAS MORE KINETIC ENERGY
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