A body possesses kinetic energy of 'X' j.if the mass of body increase 49 times determine its final velocity if kinetic energy remain constant.
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Kinetic Energy = 1mv²/2
the kinetic of the body =XJ
The initial mass of the body is m.
The initial velocity of the body is v₁.
so, X= 1/2mv₁²
The final kinetic energy =XJ= 1/2 49m v₂²
The final mass =49m
the final velocity = v₂.
according to the question=
1/2mv₁²=1/2 49mv₂²
v₁=7v₂
Hence the final velocity one seventh of intial velocity.
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