Final answer:
The magnitude of the centripetal force acting on a 60 kg car traveling in a horizontal circle with a radius of 10 meters at a speed of 5 m/s is 150 Newtons.
Step-by-step explanation:
To calculate the magnitude of the centripetal force acting on a car traveling in a horizontal circle, we use the formula:
F = m * v^2 / r
where F is the centripetal force, m is the mass of the car, v is the velocity of the car, and r is the radius of the circle. In this case, the mass m is 60 kg, the velocity v is 5 m/s, and the radius r is 10 m. Plugging in these values, the calculation is as follows:
F = 60 kg * (5 m/s)^2 / 10 m
F = 60 kg * 25 m^2/s^2 / 10 m
F = 60 kg * 2.5 m/s^2
F = 150 N
Therefore, the magnitude of the centripetal force acting on the car is 150 Newtons.