A body of mass 'm' is moving with velocity u. When a force is apllied on it for time t its velocity increases to v. Write expressions for rate of change of momentum.Also write SI unit of each.

A body of mass m is moving in a circle of radius r with angular velocity omega . Find an expression for the centripetal force f acting on it using method of dimensional analysis.

A charge q of mass m moving with velocity v, at right angles to a uniform magnetic field B. Deduce the expression for the radius of the circular path it describes.

A body of mass m moves in a circular path of radius r with a velocity v. Find the expression for the centripetal force F acting on the body by using method of dimensions.

The kinetic energy of an object of mass 'm' moving with a velocity of 5ms^-1 is 25 J. What will be its kinetic energy when its velocity is doubled ? What will be its kinetic energy when its velocity is increased to three times.

Define magnetic field. Write an expression for force on a charge q moving with velocity vecv in a region having uniform magnetic field strength vecB . How does the speed change as the charge moves? Under what circumstances the force vecF will be zero and maximum? also obtain S.I. unit of the strength of magnetic field. Also give dimensional formula of B.

If a particle of charge q is moving with velocity v along x-axis and the magnetic field B is acting along Y-axis, use the expression vecF=q(vecv xx vecB) to find the direction of force vecF acting on it.

A hydrogen ion of mass m and charge q travels with a speed v along a circle of radius r in a uniform magnetic field of flux density B. Obtain the expression for the magnetic force on the ion and determine its time period.