A particle of unit mass is moved along a smooth horizontal surface by a force of magnitude [5 - k√s] N, where s is distance from a fixed poiny O on the surface. The force is directed always away from O on the surface. If it starts frok rest at O and comes to instantaneous rest again at 400m from O, the value of constant k will be

1. 3/8

2. 3/5

3. 2/3

4. 2/7

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