The left and of the spring tied to a wall and at the right end is attached to a block of mass m, which is placed on a frictionless ground. The force F displaces the block by distance x where it is exactly balanced by the spring force.

What is the maximum speed of the block in the ensuing motion after the force F is removed?

Options

A. `sqrt((Fx)/(m))`
B. `sqrt((Fx)/(2m))`
C. `sqrt((2Fx)/(m))`
D. `xsqrt((F)/(m))`

Answer

A

Explanation

`kx=F"and" (1)/(2)kx^(2)=(1)/(2)mv^(2)rArrv=sqrt((Fx)/(m))`