Question

Consider an isolated system of n interacting particles. The mutual forces between pairs of particles in the system cause changes in momenta of the individual particles. By third law, the mutual forces between any pair of particles are equal and opposite. By second law, the change in momenta for any pair of particles are Ft and -Ft. Thus, the momentum changes cancel in pairs and total momentum of the system remains constant. This leads to a fundamental principle of physics called the law of conservation of linear momentum. This law states that the total linear momentum of an isolated system of interacting particles is conserved. The recoil of a gun on firing, explosion of a bomb into different fragments due to internal forces, the working of rockets and jet planes, etc.; can be explained on basis of momentum conservation.

If the initial velocities and final velocities of both the bodies are along the same straight line, then it is called a one-dimensional collision, or head-on collision. Two objects, A and B, collide on a frictionless surface. Object A has a mass of 2 kg and is moving to the right at a speed of 6 m/s. Object B has a mass of 3 kg and is moving to the left at a speed of 4 m/s.

A body of mass m is moving with an acceleration 'a' under the action of a force 'g/4'. The weight of the body is

Force produces an acceleration of a₁ in a body and the same force produces an acceleration of a₂ which is twice to a₁ in another body. If the two bodies are combined and the same force is applied on the combination, the acceleration produced in it is