A liquid is kept in a vessel of cylindrical size which is rotating along its axis. The liquid rises at the sides. If the radius of the vessel is 0.05m and the speed of rotaion is 2 rev/second , find the difference in height of the liquid at the centre of the vessel and its side g=9.8 m/s²

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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