A car of mass 1600 kg is traveling without slipping on a flat, curved road with a radius of curvature of 38 m. If the car's speed is 15 m/s, what is the frictional force between the road and the tires?
M V^2/R
To find the frictional force between the road and the tires, we need to first determine the net force acting on the car in the horizontal direction.
Step 1: Calculate the centripetal force
The car is moving in a curved path, which requires a centripetal force to keep it on the road. The centripetal force in this case is provided by the frictional force between the road and the tires.
Centripetal force (F_c) = (mass of car) * (velocity squared) / (radius of curvature)
F_c = (1600 kg) * (15 m/s)^2 / (38 m)
Step 2: Calculate the net force
The net force acting on the car is the difference between the frictional force and any other horizontal forces.
Net force (F_net) = F_c - (other horizontal forces)
In this case, we assume there are no other horizontal forces acting on the car, so the net force is equal to the centripetal force.
F_net = F_c = (1600 kg) * (15 m/s)^2 / (38 m)
Step 3: Calculate the frictional force
The frictional force is equal in magnitude and opposite in direction to the net force acting on the car.
Frictional force = F_net
Frictional force = (1600 kg) * (15 m/s)^2 / (38 m)
Now you can calculate the frictional force using the given information.