If the momentum of a body is double find the % increase in the kinetic energy
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Hello dear here's a answer
Momentum of a body of given mass, is directly proportiional to its velocity. In fact momentum is mass multiplied by velocity.
Kinetic energy of a body of given mass, is directly proportiional to its square of its velocity.
When momentum is doubled, mass remaining constant, this means velcity is doubled.
Hence, kinetic energy becomes
2
2
=
4
times
i.e. say from
100
units to
400
units.
and percentage increase in kinetic energy is
400
−
100
=
300
%
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