A bus wulghing 100 quintals moves on a rough road with a constant speed of 72 km PH The friction of the road is 9% of its weight and that of air is 1% of its
weight. Then the power of the engine is
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Concept:
- Calculating net forces
- Air resistance and frictional force
Given:
- mass of the bus = 100 quintal = 100*100 kg = 10000 kg
- Speed of the bus = 72 km/h = 20m/s
- Friction of road = 9% = 0.09 of the weight of the bus
- Air resistance = 1% = 0.01 of the weight of the bus
Find:
- The power of the engine
Solution:
Weight of the bus = mg = 10000 *10 = 10^5 N
Frictional force = 0.09*mg = 9000 N
Air resistance = 0.01 mg = 1000 N
Net opposing force = frictional force + air resistance = 9000 + 1000 = 10000N
Power = Force * speed
P = Fv
P = 10000 * 20 = 2*10^5 W = 200kW
The power of the engine is 200kW.
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