Question

Suppose that the air resistance a car encounters is independent of its speed. When the car travels at 15 m/s, its engine delivers 20 hp to its wheels. What is the power delivered to the wheels when the car travels at 30 m/s

Answer 1

22.5 hp

Step-by-step explanation:

The power delivered to an object is given by :

`P=F* v`

Where

F is force and v is velocity of the car.

For the same force, power is directly proportional to the velocity.

So,

`(P_1)/(P_2)=(v_1)/(v_2)\\\\P_2=(P_1v_2)/(v_1)\\\\P_2=(15* 30)/(20)\\\\P_2=22.5\ hp`

So, the new power is 22.5 hp.