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Question

Physics Question on work, energy and power

K.E. of a body increases by 0.1%0.1\%, the present increase in its momentum will be

A

0.0005

B

0.001

C

0.01

D

0.1

Answer

0.0005

Explanation

Solution

Using K.E. = p22m\frac{p^2}{2m} , we get 2Δpp=ΔEE2 \frac{\Delta p }{p} = \frac{\Delta E}{E} i.e. Δpp×100=12ΔEE×100=12×\frac{\Delta p}{p} \times 100 = \frac{1}{2} \frac{\Delta E}{E} \times 100 = \frac{1}{2} \times 0.1 % i.e. change in K.E. = 0.05 %