A particle of mass 3 kg is moving under the action of a central force whose potential energy is given by U(r) = 10r3 joule. For what energy and angular momentum will the orbit be a circle of radius 10 m ?

A particle of mass 9 kg is moving under the action of a central force whose potential energy is given by U=10//r For what energy it will orbit a circle of radius 10 m ? Calculate the time period of this motion

A body of mass 2 kg is moving under the influence of a central force whose potential energy is given by U = 2r^(3) J . If the body is moving in a circular orbit of 5 m , its energy will be

A particle of mass m moves under the action of a central force. The potential energy function is given by U(r)=mkr^(3) Where k is a positive constant and r is distance of the particle from the centre of attraction. (a) What should be the kinetic energy of the particle so that it moves in a circle of radius a0 about the centre of attraction? (b) What is the period of this circualr motion ?

If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (-1//r^(2)) , the total energy is

A particle of mass m is moving along a circle of radius r with a time period T . Its angular momentum is

A satellite of mass m is orbiting around the earth at a height equal to twice the radius of the earth (R). Its potential energy is given by

A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance r . The speed of the particle is