CBSE Class 11-science Answered
if the linear momentum of a body is increased by 10% what will be the percentage change in it's kinetic energy
Asked by santoshyadav6673633 | 26 Jan, 2024, 04:55: PM
Expert Answer
Let m be mass and v be the velocity of particle.
Kinetic energy K = (1/2) m v2 ........................... (1)
Momentum P = m v ........................(2)
By multiplying kinetic energy by mass m and dividing again by mass m and using eqn.(2) , we get
K = [ P2 / ( 2 m ) ]
By taking logarithm and differentiate above expression, we get
Hence if momentum increased by 10% , then kinetic energy increased by 20%
Answered by Thiyagarajan K | 27 Jan, 2024, 10:10: AM
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