Mass m1 moves on a slope making an angle  with the horizontal and is attached to

mass m2 by a string passing over a frictionless pulleys as shown. The coefficient of

friction between m1

and the sloping surface is .

The correct statement among the following is

1) If m m sin 2 1   , the body m1 will move up the plane

2) If   m m sin cos 2 1      , the body m1 will move up the plane

3) If   m m sin cos 2 1      , the body m1 will move up the plane

4) If   m m sin cos 2 1      , the body m1 will move up the plane

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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