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 determine the centripetal force acting on the man, we can use the centripetal force formula:
F = (m * v^2) / r
Where:
F is the centripetal force (unknown)
m is the mass of the man (80 kg)
v is the velocity of the car (20 m/s)
r is the radius of the curve (20 m)
Plugging in the values into the formula, we get:
F = (80 kg * (20 m/s)^2) / 20 m
Simplifying further, we have:
F = (80 kg * 400 m^2/s^2) / 20 m
F = 16000 kg⋅m/s^2 / 20 m
F = 800 N
Therefore, the centripetal force acting on the man is 800 Newtons.