Q-A solid sphere has combined linear and rotational motion as shown(in attachment).The velocity of itd centre of mass when its start pure rolling is

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I am confused which concept I apply here conservation of angular momentum or conservation of energy.I can solve it with conservation of angular momentum but not with conservation of energy .So can you please solve it with conservation of energy.

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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