A particle moves with deceleration along the circle of radius R so that at any moment of time its tangential
and normal accelerations are equal in moduli. At the initial moment t = 0 the speed of the particle equals v0
,
then :
(i) the speed of the particle as a function of the distance covered s will be
(A) v = v0
e–s/ R

(B) v = v0
es/ R

(C) v = v0
e–R/s (D) v = v0
eR/s

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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