A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by

Options

A. `h_(max) = 20 m`
B. `h_(max) = 15 m`
C. `h_(max) = 11 m`
D. `h_(max) = 5 m`

Answer

C

Explanation

We know that
Area under a F - s graph gives us work
`implies` Area under the graph = work done
From work energy theorem,
All the work done by the force will be converted into the potential energy of car
Work done by the force = Potential energy of car at highest point
`implies` Area under the graph = `mgh_(max)`
implies `1/2 xx 11 xx100 = 5 xx 10 xx h_(max) `
implies `h_(max) = 11m`