The kinetic energy of a body is ‘K’. If one-fourth of its mass is removed and velocity is doubled, the new kinetic energy will be _____(a) K(b) 3K(c) 4K(d) 9K/4I have been asked this question in a national level competition.This question is from Kinetic Energy topic in division Work, Energy and Power of Physics – Class 11

The kinetic energy of a body is ‘K’. If one-fourth of its mass is

1.	The kinetic energy of a body is ‘K’. If one-fourth of its mass is removed and velocity is doubled, the new kinetic energy will be _____(a) K(b) 3K(c) 4K(d) 9K/4I have been asked this question in a national level competition.This question is from Kinetic Energy topic in division Work, Energy and Power of Physics – Class 11
Answer» Right OPTION is (b) 3K The best explanation: K = 1/2 x m x V^2 New kinetic ENERGY (K’) = 1/2 x m’ x v’^2 m’ = 3m/4; [one-fourth of mass is REMOVED] v’ = 2v; [velocity is DOUBLED] K’ = 1/2 x (3m/4) x (2v) ^2 = 1/2 x m x v x 3 = 3 x K = 3K.

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