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A car is climbing up a steep hill (60 de...

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

A

`2.407 mg W`

B

`0.2407 mg W`

C

`24.07 mg W`

D

`240.7 mg W`

Text Solution

Verified by Experts

The correct Answer is:
A
The frame would be the steep hill.
Since the car moves at constant velocity.
Velocity of the car = `("Distance covered")/("Time taken") = (5000)/(30 xx 60) = 2.778 m//s`
Caculating 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.`
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