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Work, Energy And Power

Question

A heavy body and a light body have equal kinetic energies. Which of the two has greater momentum?

Solution

We know, kinetic energy is given by,
$K equals fraction numerator p squared over denominator 2 m end fraction$
$rightwards double arrow$ $rightwards double arrow$ $p squared equals 2 m K$
or $p equals square root of 2 m K end root$
That is, we can see that momentum is directly proportional to the square root of the mass.
Therefore, heavy body will have greater momentum than the light body.