Derive an expression for the rotational kinetic energy.

Derive an expression for the gravitational potential energy of a body lying at a height above the surface of the earth.

Define potential energy. Derive an expression for the potential energy of a body of mass m, at a height h above the surface of the Earth.

(a) What are the characteristics of stationary wave? (b) Derive an expression for the stationary wave using the expression prove that there is no transfer of energy in a stationary wave.

Derive an expression for the period of a geostationary satellite.

Name the factors on which the rotational kinetic energy depend.

Write an expression for kinetic energy of an object.

A circular disc rolls down an inclined plane . The ratio of rotational kinetic energy to total kinetic energy is

A solid sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is

A small steel sphere of mass m and radius r rolls without slipping on the fiictionless surface of a large hemisphere of radius R {R gt gt r) whose axis of symmetry is vertical. It starts at the top from the rest, (a) What is the kinetic energy at the bottom ? (b) What fraction is the rotational kinetic energy of the total kinetic energy ? (c) What fraction is the rotational kinetic energy of the total kinetic energy? (d) What fraction is the translational kinetic energy of the total kinetic energy?

Explain the meaning of kinetic energy. With examples obtain an expression for the kinetic energy of a body moving with a uniform velocity.