(a) Suppose we have a particle accelerated from rest by the action of a force F. Assuming that Newton’s second law for a particle, F= dp/dt, is valid in relative, show that the final kinetic energy K can be written, using work – energy theorem, as K = ∫ v dp. (b) Using Eq. 20-23 for the relativistic momentum, show that carrying out integration in (a) leads to Eq. 20- 27 for the relativistic ki9netic energy.

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11

21

31

41