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The engine of a train has to apply a for...

The engine of a train has to apply a force of 5000 N to overcome friction to run at a uniform rate of `90 km *h^(-1)` . What is the power developed by the engine ?

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125 kW
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An engine, working at a constant rate, is pulling a train of mass 500 tonne along a plane of inclination sin ^(-1) (1/(100)) . If the frictional force per metric tonne is 49 N and the train is moving with a velocity of 10 m *s^(-1) , what is the power of the engine in kilowatt ? [ 1 tonne (metric ton) =1000 kg]

An engine is pulling up a train at 54 km*h^(-1) along a plane of slope 1/(200) . Total mass of the engine and the train is 200 tonne (metric ton) , and the frictional force per tonne (metric ton) is 98 N . If the efficiency of the engine is 85% , what is the power of the engine ?

A truck, of mass 1000 kg pulls a trailer of mass 3000 kg using a rope. Frictional force between truck and road, and trailer and road are 1000 N and 2000 N respectively. If the truck engine applies a force of 8000 N, (i) what is the acceleration of the trailer and (ii) what is the tension in the rope between the truck and the trailer?

A loaded lorry of total mass 5000 kg can come down from the top of a slope (1:40) effortlessly at 18 km *h^(-1) . What should be the horsepower of its engine so that it can go up with the same speed, from the base to the top ? Resistance due to friction may be taken to be the same in both cases.

A body of mass 1kg begins to move under the action of a time dependent force vecF =(2thati+3t^2hatj)N where hati and hatj are unit vectors along x and y-axis . What power will be developed by the force at the time t ?

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 ?

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 km h^(-1) , and train B moves south with a speed of 90 km h^(-1) . What is the (a) velocity of B with respect to A ?, (b) velocity of ground with respect to B ?, and (c) velocity of a monkey running on the roof of the train A against its motion (with a velocity of 18 km h^(-1) with respect to the train A) as observed by a man standing on the ground ?

A car of mass 1000 kg moves up at 40 km *h^(-1) along an inclined plane of slope 1/(50) . Coefficient of rolling friction between the road and the wheels of the car is 0.3. Find the power of the car engine.

To set a body mass 5 kg in motion over a horizontal surface a minimum force of 30 N has to be applied. What is the value of the coefficient of friction?

CHHAYA PUBLICATION-WORK AND ENERGY-PROBLEM SET -I
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