Two particles of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley. If the system is released from rest, and $m_1 > m_2$, what is the magnitude of the change in gravitational potential energy of the system when $m_1$ descends a distance $h$?

A body is projected at an angle $heta$ to the horizontal with kinetic energy ${E_k}$. The potential energy at the highest point of the trajectory is

A rod AB of mass 10kg and length 4m rests on a horizontal floor with end A fixed so as to rotate it in vertical plane about perpendicular axis passing through A. If the work done on the rod is 100 J, the height to which the end B be raised vertically above the floor is

A particle is subjected to a force $F = -kx + \frac{a}{x^3}$, where $k$ and $a$ are positive constants. What is the equilibrium position of the particle?

A tank of size 10m X 10 m X 10m is full of water and built on the ground. If $g = 10m/{s^2}$ The potential energy of the water in the tank is [Joules]

One man takes 1 minute to raise a box to a height of 1 m and another man takes $\frac{1}{2}$ minute to do so. The energy of the two is

A body of mass 2 kg is thrown up vertically with kinetic energy of 490 J. The height at which the kinetic energy of the body becomes half of its original value is?

The potential energy of a particle in a force field is $U = \frac{A}{{{r^2}}} - \frac{B}{r}$, where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is

Which of the following statements is wrong?

An iron nail is dropped from a height h from the level of a sand bed. If it penetrates through a distance x in the sand before coming to rest, then average force exerted by the sand on nail is

Two particles of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley. If the system is released from rest, and $m_1 > m_2$, what is the magnitude of the change in gravitational potential energy of the system when $m_1$ descends a distance $h$?