There is a particle moving along the X axis whose acceleration is given by a=3x/2(x-2) ms^-2, where X is it's position at any moment.This particle is placed on the point X =4 m and given the minimum velocity v towards negative X direction such that it reaches the origin. The value of v 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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