If the linear momentum of the object in increased by `0.1%` , then the kinetic energy is increased by :

Options

A. 0.004
B. 0.0001
C. 0.001
D. 0.002

Answer

D

Explanation

Increased linear momentum ` P. = (100.1)/(100) P = 1.001 P`
` E. = (P^2)/(2m) = (1.002001P^2)/(2m) = 1.002001E`
% increased KE` = (E. -E)/(E ) xx 100 = [ (1.00200 E)/(E ) ] xx 100 = 0.2%`