A particle is projected from the end of B of a horizontal track BC at an angle alpha to the horizontal. After just grazing the vertices A,A`,A....... of the triangles BAC,BA`C,BAC,.... on its way, it lands up at the point C on the other end of the line, show that the if tangent s of the base angles of any of these triangles is constant.

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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