Show that for a particle in linear SHM, the average kinetic energy over a period of oscillation equals the average potential energy over the same period.

If the average kinetic energy of the molecules of a certain mass of a gas decreases, then

Show that the work done by a varible force is equal to the change in kinetic energy of an object.

Prove that the average kinetic energy of a molecule of an ideal gas is direcly proportional to the absolute temperature of the gas.

At a particular temperature, the average kinetic energies of SO_(2) molecule and H_(2) molecule are_____.

Show that the potential energy of a body raised vertically to a height h is the same as the potential energy of the body raised to the same height along a smooth inclined plane.

Which one is used to calculate the average kinetic energy of gas molecules, average speed or root mean square speed?

Show that kinetic energy of an electron in the first Bohr orbit is numerically half of its potential energy.