Show that the amount of kinetic energy always decreases in perfectly inelastic collision in one dimension.

What is perfectly inelastic collision?

Give one example of kinetic energy.

Show that the sum of potential and kinetic energy of a body falling freely under gravity is constant.What happens to theses energies when the body hits the ground?

Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rev/min. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2/5 times the initial value? Assume that the turntable rotates without friction. (b) Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

Show how the result of kinetic theory of gas leads to a relation between temperature of a gas and the average translational Kinetic energy of a gas molecule.

Two discs of moments of inertia /, and l2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds omega and omega are brought into contact face to face with their axes of rotation coincident, (a) What is the angular speed of the two-disc system? (b) Show that the kinetic energy of the combined system is less than the sum of the initial kinetic energies of the two discs. How do you account for this loss in energy? Take . omega ne omega

in an inelastic collision of two bodies, the quantities which do not change after the collision are the total kinetic energy/total linear momentum/total energy of the system of two bodies.

When is a collision said to be a perfectly inelastic? A mass is moving with speed v collides inelastically with another identical mass at rest. After collision, the first mass moves with velocity frac(nu)(sqrt 3) in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision.

When a charged particle moves in a magnetci field does the kinetic energy always remains constant?