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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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12 kW

6 kW

112 kW

56 kW

answer is C.

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Detailed Solution

Given,

v=36km/h= $36 \times \frac{1000}{3600} = 10 m / s$

m = 100kg

$w = 1000 \times 10 = 10000 N$

$f_{r o a d} = w \times \frac{10}{100} = 1000 N$

$f_{a i r} = w \times \frac{2}{100} = 200 N$

$P = F v$

$F = f_{r o a d} + f_{a i r}$

$F = 1000 + 200 = 1200 N$

$P o w e r P = 1200 \times 20 = 1200 J / s$

P=12kW

Hence the correct answer is 12kW.

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