One end of a light rope is tied directly to the ceiling. A man of mass m initially at rest on the ground starts climbing (slowly) the rope without slipping upto a height ℓ which is quite large in comparison to the dimension of man. From the time he starts at rest on the ground to the time he is hanging at rest at a height ℓ . Then
A) work done on man by rope is zero. B) work done by gravity is –mg ℓ C) work done by man is mg ℓ D) work done by man is zero.

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