If a spring of stiffness ‘k’ is cut into parts ‘A’ and ‘B’ of length ℓA : ℓB = 2 : 3, then the stiffness of spring ‘A’ is given by

(a) 3k/5

(b) 2k/5

(c) k

(d) 5/2k

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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