Figure given below shows the variation of potential energy function U(x), corresponding to a particle lying in a one dimensional force field. The force acting on the particle at x = 2 m is:

Options

A. `-12 N`
B. `-24 N`
C. `-16 N`
D. `-8 N`

Answer

`(2)`

Explanation

The given graph is according to the equation `x^(2) = 4ay`
Substituting `4 = (4a)(24) Rightarrow = 1/6`
`therefore x^(2) = 1/6U Rightarrow U = 6x^(2)`
`F = (-dU)/(dx) = -12x`
`= -24N`