a particle is moving under the influence of a force given by F= kx , where k is a constant and x is the distance moved the energy (in joules ) gained by the particle in moving from x=0 to x=3 is

Options

A. A)2 k
B. B)3. 5 k
C. C)4.5 k
D. D)9 k

Answer

C

Explanation

`U=(1)/(2)k(x_(2)^(2)-x_(1)^(2))`
`=(1)/(2)k(3^(2)-0^(2))`
`=(9)/(2)k=4.5k`