A body is rolling on a horizontal surface. Derive an equation for its kinetic energy.

Derive an expression for energy stored in a capacitor,

State Bohr's postulates: Using these postulates derive an expression for the total energy of an electron in the n^(th) orbit of an atom.

Satellites are objects which revolve around the earth. Derive an expression for total energy of an orbiting satellite.

An electron of mass 'm' moves with a uniform speed v around the nucleus along a circular radius 'r'. Derive an expression for the acceleration of the electron.

A coin is rolling on a plane surface. What fraction of its total kinetic energy is rotational?

Gravitational potential energy of an object depends on the mass of the object, its height from the surface of earth and acceleration due to gravity. Using the method of dimensions derive an expression for the potential energy.

All types of SHM are periodic in nature Derive the mathematical expression for kinetic and potential energies of a particle executing simple harmonic motion.

A solid sphere of mass 3kg rolls on a horizontal surface with a linear speed of 30m/s . Find the total kinetic energy of the sphere.