Question

A 60-kilogram car travels clockwise in a horizontal circle of radius 10 meters at 5 meters per second. The magnitude of the centripetal force acting on the car is:

A) 300 N
B) 120 N
C) 600 N
D) 150 N

Answer 1

The magnitude of the centripetal force acting on a 60-kilogram car traveling in a circle with a radius of 10 meters at 5 meters per second is 150 N.

Step-by-step explanation:

The centripetal force required to keep a car moving in a circular path can be calculated using the formula Fc = mv²/r, where m is the mass of the car, v is the velocity, and r is the radius of the circle. In this example, the car has a mass of 60 kilograms, a velocity of 5 meters per second, and is traveling a path with a radius of 10 meters. Plugging these values into the formula gives us Fc = (60 kg)(5 m/s)² / (10 m) = (60 kg)(25 m²/s²) / (10 m) = 150 N. Therefore, the magnitude of the centripetal force acting on the car is 150 N, which corresponds to option D).