A car with a mass of 2.000 kilograms is moving around a circular curve at a uniform velocity of 25 meters per second. The curve has a radius of 80 meters what is the centripetal force on the car
A.625N
B.703N c. 15,625N
D.20,250N
To find the centripetal force acting on the car, we can 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 curve.
Given:
m = 2.000 kg (mass of the car)
v = 25 m/s (velocity of the car)
r = 80 m (radius of the curve)
Substituting these values into the formula, we get:
F = (2.000 kg * (25 m/s)^2) / 80 m
Calculating the equation in parentheses first:
F = (2.000 kg * 625 m^2/s^2) / 80 m
F = 1.250 N / m * 625 m^2/s^2
Now, divide 1.250 N by 80:
F = 0.016 N * 625 m^2/s^2
F = 625 N * m^2/s^2 / 80
F = 7.8125 N * m^2/s^2
So, the centripetal force on the car is approximately 7.8125 N.
Therefore, the correct answer is not listed among the options provided.