A particle starts from rest at x=0 and moves to x=L, under the action of a variable force F(x) which is shown in figure. What is the kinetic energy of particles at x = L/2 & at x = L.

Question

A particle starts from rest at x=0 and moves to x=L, under the
action of a variable force F(x) which is shown in figure What is
the kinetic energy of particles at x = L/2 & at x = L

Dinesh Pandey · Accepted Answer

Dear Student,

The work is equal the area under the graph of force vs
 displacement
The work is also equal to the kinetic energy
At x=L2,the area is=12FmaxL2=FmaxL4At, x=L,the area is=2×12FmaxL2=FmaxL2