Three ants are sitting on the vertices of an equilateral triangle of side a. At time t=0,ant 1 starts approaching ant 2 with a speed v ant 2 tarts approaching ant 3 with speed v and ant 3 starts approaching ant 1 with a speed v.

1. find the time when they meet.
2. The angular velocity of ant 2 with respect to ant 1 at t=0
3. the angular acceleration of ant 2 with respect to ant 1 at t=0
4. the area of the equilateral triangle formed by the three ants at any time t=a/4v

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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