Two block of masses m1 and m2 are connected with the help of spring constant K initially the spring in its natural length as shown. A sharp impulse is given to mass m2 so that it aquires a velocity Vo towards right. If the system is kept an smooth floor then (a) the velocity of the COM (b) the maximum elongation that the spring will suffer

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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