A body of mass 'm' is suspended to an ideal spring of force constant 'k'. The expected change in the position of the body due to an additional force 'F' acting vertically downwards is

Options

A. `(3F)/(2K)`
B. `(2F)/(K)`
C. `(5F)/(2K)`
D. `(4F)/(K)`

Answer

B

Explanation

`mgx = (1)/(2) Kx^(2), (mg + F)x^(1) = (1)/(2)K(x^(1))^(2)`
`A = x^(1) -x`