an 80 kg man rides in a car which makes a turn. he moves along a curve with a radius of 20m at a constant speed of 20m/s. how much centripetal force acts on him?
To find the centripetal force acting on the 80 kg man, you can use the formula:
Centripetal force = (Mass × Speed²) / Radius
Here's how to calculate it step by step:
1. Mass: The given mass of the man is 80 kg.
2. Speed: The given speed of the car is 20 m/s.
3. Radius: The given radius of the curve is 20 m.
Now substitute these values into the formula:
Centripetal force = (80 kg × (20 m/s)²) / 20 m
Simplifying the equation:
Centripetal force = (80 kg × 400 m²/s²) / 20 m
= (80 kg × 400 m/s²)
= 32,000 N
Therefore, the centripetal force acting on the man is 32,000 Newtons.