A body is executing SHM under the action of force whose maximum magnitude is 50N. Find the magnitude of force acting on the particle at the time when its energy is half kinetic and half potential.

Options

A. 25 N
B. `25 sqrt(2) N`
C. `(25)/(sqrt(2)) N`
D. 12.5 N

Answer

B

Explanation

`PE_(max) = (1)/(2) m omega^(2)A^(2)`
`PE = (PE_(max))/(2) rArr y = (A)/(sqrt(2))`
`(50)/(F) = (A)/((A)/(sqrt(2)))`
`F = (50)/(sqrt(2)) = 25 sqrt(2) N`