A particle of mass m is moving along x axis under the action of a force f=-kx. When t=2s it passes through the origin and when t=4s its velocity is 4m/s. If t=16s then

(a)What is the amplitude of the motion.

(b)W\Show that the equation of motion is

sin[(t-2)k/m]*4[(m/k)^1/2]/[cos2(k/m)^1/2]

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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