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Q.

A car of mass 1000kg moves on a horizontal surface. If the road friction amounts to 10% of weight of the car and air resistance amounts to 2% of the weight, the power required to run the car at a uniform speed of 36 KMPH is

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a

12 kW

b

6 kW

c

112 kW

d

56 kW

answer is C.

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Detailed Solution

Given,

v=36km/h=36×10003600=10m/s

m = 100kg

w=1000×10=10000N

froad=w×10100=1000N

fair=w×2100=200N

P=Fv

F=froad+fair

F=1000+200=1200N

Power P=1200×20=1200J/s

P=12kW

Hence the correct answer is 12kW.

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