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Question: A bus weighing 100 quintals moves on a rough road with a constant speed of 72km/h. The friction of t...

A bus weighing 100 quintals moves on a rough road with a constant speed of 72km/h. The friction of the road is 9% of its weight and that of air is 1% of its weight. What is the power of the engine. Take g = 10m/s2

A

50 Kw

B

100 Kw

C

150 kW

D

200 Kw

Answer

200 Kw

Explanation

Solution

Weight of a bus = mass × g

=100×100kg×10m/s2=105N= 100 \times 100kg \times 10m ⥂ / ⥂ s^{2} = 10^{5}N

Total friction force = 10% of weight = 104 N

∴ Power = Force × velocity

=104N×72km/h=104×20watt=2×105watt=200kW= 10^{4}N \times 72km/h = 10^{4} \times 20watt = 2 \times 10^{5}watt = 200kW.