Calculate the angle of banking for a circlular track of radius R for vehicles moving with a speed v.

An athlete completes one round of a circular track of radius R in 30 seconds. What will be the displacement at the end of 2 min 15 second ?

A electron and proton possesing equal momentum and injected to a region at right angle to a uniform magnetic field. Calculate the ratio of this radius while moving inside the magnetic field.

Area of a sector of angle p^@ of a circle with radius R is

In a circus a rider rides in circular track of radius R in the vertical plane. The minimum velocity at highest point of the track will be :

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate, its speed if it takes 24 hours to revolve around the earth.

Viscous force on small sphere of radius R moving in fluid varies as

Calculate the de Broglie wave length of a ball of mass 0.16kg moving with a speed of 18m/s .

An electron is moving round the nucleus of a H_2 atom in a circular orbit of radius r. The coulomb force F between the two is

A steel ball of radius 2cm is initially at rest.It is stuck head on by another steel ball of radius 4cm moving with a velocity of 0.72ms^-1.Assuming that the collosion in completely inceelastic.Calculate the velocity of the balls after collision.

A train runs along an unbanked circular track of radius 30 m at a speed of 54 km/h. The mass of the train is 106 kg. What provides the centripetal force required for this purpose - The engine or the rails? What is the angle of banking required to prevent- wearing out of the rail?