THREE IDENTICAL HOLES EACH OF AREA a ARE DRILLED ON THE CURVED SURFACE OF A CYLINDRICAL TANK SUCH THAT THEY FORM A EQUILATERAL TRIANGLE IN A HORIZONTAL PLANE JUST ABOVE THE BOTTOM. THE TANK IS KEPT OVER A FRICTIONLESS HORIZONTAL SURFACE AND IS FILLED WITH WATER UPTO A HEIGHT H BY PLUGGING THE HOLES. IF A IS THE CROSS-SECTIONAL AREA OF THE CYLINDER (A>>a), THE INITIAL ACCELERATION OF THE TANK, WHEN THE THREE HOLES ARE UNPLUGGED SIMULTANEOUSLY IS a) 0 b) 2ag/A c) (3ag^(3/2))/A d) (2ag*3^(1/2))/A

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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