In figure shown on the right, the mass of the trolley is 100 kg, and it can move without friction on the horizontal floor. Its length is 12m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley''s upper surface, with µ = 1/3. The girl can run with a maximum speed = 9 m/s on the surface of the trolley, with respect to the surface. At t = 0 the girl starts running from rest to the right. The trolley was initially stationary. (g = 10 m/s2) The minimum time in which the girl can acquire her maximum speed, for no slipping, is____

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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