Two particles A and B each of mass m are attached by a light inextensible string of length 2L. The whole system lies on a smooth horizontal table with B initially at a distance L from A . The particle across the table with speed u perpendicular to AB . Velocity of ball A just after the string is taut:

1. u3^1/2/4

2. u3^½

3. u3^1/2 /2

4. u2^1/2

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.

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