Final answer:
When entering a curve too fast, especially on a banked curve, it is important to decelerate gradually to the speed intended for the curve, avoiding sudden movements that can lead to loss of control. Banked curves help vehicles navigate at higher speeds by providing centripetal force through the road's angle, such as those at race tracks like Daytona International Speedway.
Step-by-step explanation:
If you enter a curve too fast, particularly on a banked curve without relying on tire friction, you risk losing control of your vehicle. Banked curves are designed so that at the correct speed, the centripetal force required for a vehicle to make the turn is provided by the normal force due to the banking angle. For a curve to be negotiated safely at high speed, the curve may be banked, which involves tilting the road at an angle.
At Daytona International Speedway, for instance, the curves are steeply banked to enable higher speed maneuvers in races. An ideally banked curve allows a vehicle to navigate the curve at a predetermined speed without the necessity for friction. This means that if you approach such a curve too quickly, you should gradually decelerate to match the curve's intended speed without making abrupt steering or braking actions, as these could cause you to skid or lose control.
For a curve with a 100 m radius banked at 65 degrees, there is a specific speed at which the vehicle can travel where the centripetal force required for the turn is exactly provided by the component of the gravitational force due to the banking of the road. To calculate this speed, physics principles are applied. However, it is crucial to always adjust speed based on road conditions and personal driving capabilities to ensure safety.