A particle is subjected to a force $F = -kx + \frac{a}{x^3}$, where 'k' and 'a' are positive constants. The equilibrium positions are at:

A particle is subjected to a force $F = -kx + \frac{a}{x^3}$, where 'k' and 'a' are positive constants. The equilibrium positions are at:

A spring exerts a force $F = -kx$, where $k = 10$ N/m is the spring constant and x is the displacement from its equilibrium position. Determine the work done by the spring force as it stretches from $x = 0$ m to $x = 0.5$ m.

Work done in time t on a body of mass m which is accelerated from rest to a speed v in time ${t_1}$ as a function of time t is given by

A body of mass 10 kg is acted upon by two forces each of magnitude 10 N making an angle of ${60^0}$ with each other. Find the net acceleration of the body

A uniform chain of mass M and length L is lying on a frictionless table in such a way that its 1/3 part is hanging vertically down. The work done in pulling the chain up the table is

A body of mass 3 kg acted upon by a constant force is displaced by S metre, given by relation $\;{\rm{S}} = \frac{1}{3}{{\rm{t}}^2}$, where t is in second. Work done by the force in 2 seconds is

Choose the incorrect statement

The work done by a force $\vec F = \left( { - 6{x^3}i} \right)N$, in displacing a particle from x=4 m to x=-2 m is

A body of mass 10 kg is dropped to the ground from a height of 10 metres. The work done by the gravitational force is $\left( {g = 9.8\;m/{s^2}} \right)$

A force $F = A{y^2} + By + C$ acts on a body in the y-direction. The work done by this force during a displacement from $y = - a\,to\,y = a$ is