Question

A car with a mass of 900 kg rounds an unbanked curve in the road at a speed of 45.0 m/s. If the radius of the curve is 100 m, what is the average centripetal force exerted on the car?

a. 6075 N
b. 4050 N
c. 8100 N
d. 2025 N

Answer 1

The average centripetal force exerted on the car is 6075 N.

Step-by-step explanation:

The average centripetal force exerted on the car can be calculated using the formula:

F = (m * v^2) / r

where:

• F is the centripetal force
• m is the mass of the car (900 kg)
• v is the speed of the car (45.0 m/s)
• r is the radius of the curve (100 m)

Substituting the values into the formula, we get:

F = (900 kg * (45.0 m/s)^2) / 100 m = 6075 N

Therefore, the average centripetal force exerted on the car is 6075 N (option a).