A partical is moving in a circle of radious R in such a way that at any instant the total acceleration makes an angle of 45⁰ with radious.initial speed of partical is V₀.the time taken to complete the first revolution is-

1. (R/V₀ e^-2​^pi​),
2. R/V₀ (1-e^-2pi)
3. R/V₀
4. 2R/V₀

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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