from a sphere of mass M and radius R a smaller sphere of radiusR/2 is carved out such that the cavity made in the original sphere is between its centre and the periphery .for the configuration in the figure where the distance between the centre of the original sphere and the removed sphere is 3R the gravitational force between the two sphere 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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