Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius. What is the force of friction needed for the car to round the curve without slipping?
To find the force of friction needed for the car to round the curve without slipping, we can use the centripetal force formula. The centripetal force is the force that keeps an object moving in a curved path, and in this case, it is provided by the frictional force.
The centripetal force can be calculated using the equation:
Fc = (m * v^2) / r
where Fc 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.
In this case, the velocity of the car is given as 32 m/s, and the radius of the curve is given as 56 m. We assume that the mass of the car is not provided in the question.
Now, we can substitute the values into the formula:
Fc = (m * v^2) / r
Fc = (m * (32 m/s)^2) / 56 m
To determine the force of friction needed, we need to know the mass of the car. Without the mass, we cannot calculate the exact value of the force of friction.