A variable force F=kx^(2)acts on a particle which is initially at rest. Calculate the work done by the force during the displacement of the particle from x=0 m "to" x= 4m. (Assume the constant k=1Nm^(-2))

A variable force F=kx^(2)acts on a particle which is initially at rest

1.	A variable force F=kx^(2)acts on a particle which is initially at rest. Calculate the work done by the force during the displacement of the particle from x=0 m "to" x= 4m. (Assume the constant k=1Nm^(-2))
Answer» ANSWER :Work done, `W=underset(x_i)OVERSET(x_f)intF(X)dx=kunderset(0)overset(4)intx^(2)dx=64Nm`