A train of mass 2000 quintal is drawn up on an inclined plane of 2 in 100 at the rate - Physics - Work Energy And Power

Question

A train of mass 2000 quintal is drawn up on an inclined plane of 2
in 100 at the rate of 72 km/h If the resistance due to friction is
3000 N, calculate the power of the engine

Ved Prakash Lakhera · Accepted Answer

The inclination of inclined plane = tanθ = θ = sinθ = 2/100
When train is pulled by the engine, following eqn is obtained under balancing condition,F = mg sinθ +FR
 where F and FR are force of engine and frictional force
therefore  F = 200000×10×2100 + 3000
                  F  = 40000 + 3000 = 43000N
but velocity of train on the inclined plane = 72 Km/h =72×518= 20 m/s
Therefore power of the engine P = F×v
                    P =  43000×20 = 860000 W  =  860 KW

A train of mass 2000 quintal is drawn up on an inclined plane of 2 in 100 at the rate of 72 km/h. If the resistance due to friction is 3000 N, calculate the power of the engine.