CBSE Class 11-science Answered
if the momentum of body decreases by 30% its kinetic energy decreased by

Asked by bhargavchary19 | 23 Dec, 2022, 07:33: AM
Momentum p = ( m v )
where m is mass and v is velocity
Kinetic energy E = (1/2) m v2 = (1/2)
= 


Kinetic energy E =
........................(1)

if we differentiate above expression, we get

where change in kinetic energy is given as ΔE and change in momentum is given as Δp
By dividing eqn.(2) by eqn.(1)
(ΔE/E) = 2 ( Δp / p )
Hence if momentum decreases by 30% , kinetic energy decreases by 60%
Answered by Thiyagarajan K | 23 Dec, 2022, 09:02: AM
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