A train of mass M moving with a uniform velocity on a horizontal
plane. The last bogie of the train suddenly got detached .The driver
could detect the detachment after he travel led through a distance l,
where he stopped the engine. If resistance against motion of the train
is directly proportional to the mass, show that, both the detached
bogie and the rest of the train come to rest, the distance between
them is Ml/(M-m),where m is the mass of the detached bogie. Assume
that the engine maintains a constant pull.

your early ans will be highly appreciated.

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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