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.

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

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