A car is climbing up a steep hill ( 60 degeres) and travles a distance of 5 km in 30 minuttes at constant speed assuming that car always rolls what is the power delivered by the engine ?

Options

A. 2.407 mgW
B. 0.2407 mgW
C. 24.07mgW
D. 240.7 mgW

Answer

A

Explanation

The final would be the step hill.
Since the car moves at constant velocity
Velocity of the car ` = ("Distance covered")/("Time taken") = (5000)/(30 xx 60) = 2.778` m/s
Calculating the product of force and velocity = `mg sin 60^(@) xx 2.778` as the force of the engine is equal to the gravitational force components. ` = 2.407` mg
We assign positive sign, as velocity is parallel to the direction of force.
Power delivered by the engine = 2.407 mg W.