A highway curve with a radius of 650 m is banked properly for a car traveling 100 km/h. If a 1600- kg Porshe 928S rounds the curve at 230 km/h, how much sideways force must the tires exert against the road if the car does not skid?

To calculate the sideways force the tires must exert against the road, we can use the principle of centripetal force. The centripetal force required to keep the car going in a curved path without skidding is provided by the frictional force between the tires and the road.

Let's break down the solution into steps:

Step 1: Convert the given speeds to meters per second (m/s).
100 km/h = (100 * 1000 m) / (3600 s) = 27.78 m/s
230 km/h = (230 * 1000 m) / (3600 s) = 63.89 m/s

Step 2: Calculate the required centripetal force.
The centripetal force is given by the equation: F = (m * v^2) / r,
where F is the centripetal force, m is the mass of the Porshe 928S, v is the velocity of the car, and r is the radius of the curve.

F = (1600 kg * (63.89 m/s)^2) / 650 m

Step 3: Calculate the required sideways force.
Since the sideways force is provided by the frictional force, we can assume that the maximum frictional force is equal to the centripetal force required to keep the car on the road without skidding.

So, the sideways force the tires must exert against the road is approximately equal to the centripetal force calculated in step 2.

Therefore, the sideways force is F = (1600 kg * (63.89 m/s)^2) / 650 m.