Derive expression for final velocities `v_1` and `v_2` for an Elastic collsion.

Define in elastic collision. Derive an expression for velocities for head-on elastic collision.

State the expression of final velocity of 2 bodies having a head on elastic collision.

Give formula: Final velocity (v) =

Derive an expression for the velocities of the colliding bodies after elestic collision

Derive an expression for terminal velocity of solid falling through viscous fluid.

Give formula: Final velocity^2 (v^2) =

Derive the formula for critical velocity (V).

Define critical velocity and derive an expression for the same. OR What is critical velocity? Derive an expression for critical velocity of a satellite orbiting at a certain height. Also discuss the formula when satellite is very close to the earth's surface.

A particle executing S.H.M. has velocities v_1 and v_2 when at distances x_1 and x_2 from the centre of the path. Show that the time period given by

Derive an expression for kinectic energy of a rotating body with uniform angular velocity.