In a cathode-ray tube, a beam of electrons is projected horizontally with a speed of 10^9 cm/s into the region between a pair of horizontal plates 2.0 cm long. An electric field between the plates causes a constant downward acceleration of the electrons of magnitude 10¹⁷ cm/s² Find (a) the time required for the electrons to pass through the plates, (b) the vertical displacement of the beam in passing through the plates, and (c) the horizontal and vertical components of the velocity of the beam as it emerges from the plates.

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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