A spherical solid ball of volume V is made of a material of density p₁. It falling through a liquid of density p₁ (p₂1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed v, i.e., F =-kv²(k>0). The terminal speed of the ball is

(a) vVg(p₁-p₂)/k

(b) Vgp₁/k

(c) vVgp₁/k

(d) Vg)p₁-p₂/k

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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