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.

Show that mechanical energy of a body sliding down freely along a smooth inclined plane is conserved.

A body is fully immersed in water. Calculate the change in potential energy of the body, raised to a height h inside the water.

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

Show that the work done by an external constant force on a body is equal to the change in kinetic energy of the body.

The change in the gravitational potential energy when a body of mass m is raised to a height nR above the surface of the earth is (here R is the radius of the earth)

Determine the change in potential energy of a body when it is raised through a height h, inside water. Volume of the body is V, its density is rho and the density of water is rho_(0) . Given your answer for the situations when (i) rhogtrho_(0) and (ii) rholtrho_(0) .

Show that the escape velocity for all bodies- heavy or light- is the same.

Height of the vertex of an inclined plane is h . From the vertex , a body is released along the inclined plane . Explain whether the kinetic energy of the body at the base of the inclined plane depends on the inclination.

Calculate the potential enrgy of a body of mass 50 kg raised to a height of 4 m above the ground. If the body falls down under gravity freely, then what will be its velocity when it just touches the ground ? (Given g=9.8 m//s^(2))