A thin hollow sphere of mass ‘m’ is completely filled with a liquid of mass ‘m’. When the sphere rolls with a velocity ‘v’, kinetic energy of the system is (neglect friction):

The maximum tension a rope can withstand is 60 kg wt. The ration of maximum acceleration with which two boys of masses 20 kg and 30 kg can climb up the rope ate the same time 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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