A mass m rotats in a vertical circle of radius R and has a circular speed v at the top. If the radius of the circle is increasedby a factor of 4, circular speed at the top will be

1. decreased by a factor of 2
2. decreased by a factor of 4
3. increased by a factor of 2
4. increased by a factor of 4

Plz explain the solution as well....

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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