A rod of mass m and length l is placed on a smooth tabl. A particle of same mass m strikes the rod with velocity v perpendicular tothe rod and at a distance x from the centre and sticks to it after collision.

Find the maximum possible impulse (by varying x ) that can be imparted to the particle during collision. (the particle still sticks to the rod)

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