Show that in two demensional elastic I collision between two bodies of equal mass and one body initialy at rest, they move at an angle of `frac(pi)(2)` after collision.

Show that in one dimensional elastic collision of two particales of equal mass,the partical exchange velocities after collisions.

If one of the two colliding particles is initially at rest, is it possible for both of the particles to be a rest after collision?

If the distance between two bodies of mass 200 kg each is 3 meters, what is the force of gravitation between them?

If a body of mass m is moving with velocity v then prove that kinetic energy of the body = frac(1)(2) mv^2

Two bodies of masses of 1 g and 4 g are moving with equal kinetic engergies .Find the ratio of their momenta.

A block of mass 2kg moving with certain velocity collides with a block of mass 3kg at rest ,After collision the blocks move togather.Find the loss of K.E in the collision.

A block of mass 2 kg moving at 2.0m/s collides with another block of equal mass kept at rest.find the maximum possible loss of K.E due to the collision.

State if each of the following statements is true or false. Give reasons for your answer In an elastic collision of two bodies, the momentum and energy of each body is conserved.

A ball moving with a speed of 9m.s strikes an identical ball at rest, such that direction fo eahc ball makes an angle 30^@ with the original line. Find the speed of two ball after collision.

Define the co-efficient of restitution. A particle of a mass m moving with a velocity u struck head-on against another particle of mass Km at rest.After collision the particles move with velocities V1 and V2 respectively.If the collision is prefectly elastic.Prove that the loss of kinetic energyof the particle with mass m is maximum when k=1.