A train weghing 1000 quintals is running on a level road ith a uniform speed of 72`km//h`.If teh frictional resistance amounts to 50 g wt.per quintal,find power in watt,take `g= 9.8 m s^-2`.

A railway engine weghing 40 metric ton is travelling along a level track at a speed of 54 km//h .What additional power is required to maintain the same speed up an incline rising 1 in 49,given mu=0.1,g=9.8m s^-2 ?

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 km h^-1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m s^-2 . If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them ?

A player throws a ball upwards with an initial speed of 29.4 m s^-1 :- To what height does the ball rise and after how long does the ball return to the player’s hands ? (Take g = 9.8 m s^-2 and neglect air resistance).

The radius of curvature of a railway track at a place where the train is moving at a speed of 72 km h^-1 is 625 m.The distance between the rails is 1.5 m.Find the angle and the elevation of the outer rail so that there may be no side pressure on the rails. (g=9.8 m s^(-2)) .

A cyclist goes round a circular path of radius 20.0 m with a speed of 14 m s^-1 .Find the angle through which his cycle makes with vertical. (g=9.8 ms ^-2) .

A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km//h passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m s^-1 to hit the plane ? At what minimum altitude should the pilot fly the plane to avoid being hit ? (Take g = 10 ms^2 ).

Figure shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod, and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod =15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0 mOmega Assume the field to be uniform. How much power is required (by an external agent) to keep the rod moving at the same speed (= 12 cm s^-1 ) when K is closed? How much power is required when K is open? :