Question

a car with a mass of 400kg is powered by an engine delivering a 45hp . at what maximum speed will it go up in 15° [neglect frictional force]

Answer 1

Mass of a car = 400kg

Power = 45 hp

v = ?

Power =  work done/ time

          =  Fs cosθ / T

F =  mass × gravity

Force =  mass ×Accerlation due to gravity

F =  mg  cos θ

Hence

Power =  mg cosθ v

45×746  = 400×10×cos15°×v

45×746 /400×10×cos15 = v

373 /2 ×100   = v

3.73 / 2 = v

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