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

Respuesta :

Answer:

22.5 hp

Explanation:

The power delivered to an object is given by :

[tex]P=F\times v[/tex]

Where

F is force and v is velocity of the car.

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

So,

[tex]\dfrac{P_1}{P_2}=\dfrac{v_1}{v_2}\\\\P_2=\dfrac{P_1v_2}{v_1}\\\\P_2=\dfrac{15\times 30}{20}\\\\P_2=22.5\ hp[/tex]

So, the new power is 22.5 hp.