A train weighing 1000 tons is moving on a horizontal track with a uniform velocity of 10m/s.The total resistance to the motion of the train is 5 kgf per ton.If g=10m/s2,then the power of the engine is
Step 1: Given
Mass of train (m)= 1000 ton
Velocity of train (v)= 10m/s
Step 2: Formula used
Engine power(P) = F*v
1 kgf = 10 N
Step 3: Finding total force
Resistance offered per ton = 5 kgfton = 50 Nton
The resistance offered for 1000 tonne (F)= 50*1000 = 50000 N
Step 4: Finding power
For moving with constant velocity,
Power, P = 50000*10 W
P = 500* 1000 W
P = 500 KW
Hence, the power of the engine is 500 KW.