Max Speed to Maintain Road Contact over Bump

In summary, the conversation discusses the problem of finding the maximum speed a car can drive over a bump without losing contact with the road. The given information includes the radius of the bump, the constant speed of the car, and the weight of the passenger. The apparent weight of the passenger at the top of the bump is also calculated. The conversation then delves into the forces acting on the car as it passes over the bump, including gravity and the normal force. It is determined that at the point of losing contact with the road, only gravity is left to hold the car onto the road. The application of Newton's 2nd law and circular motion is also mentioned.
  • #1
Lnav1982
4
0
I am having a hard time trying to figure out this problem:
What is the max speed that you can drive the car over the top of the bump without losing contact with the road. I have the radius= 66.7 m, constant speed of car = 16.4m/s, and weight of your passenger=57.0kg. With these numbers I was able to find the apparent weight of passenger as you pass over the top of the bump= 329.3 N. I just don't know how to find the speed need to not lose contact. Some one please help. Thanks a lot!
 
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  • #2
What forces act on the car as it passes the top of the bump? What forces act if it loses contact? Is the car accelerating? How would you apply Newton's 2nd law to the car?
 
  • #3
The forces are force from the bump? Normal force? If it loses contact wouldn't gravity act on the car? The car is accelerating.
 
  • #4
There are two forces acting on the car: gravity and the normal force. At the point where the car just loses contact with the road, the normal force goes to zero so only gravity is left to hold the car onto the road. Now apply Newton's 2nd law and what you know about circular motion.
 

1. What is the maximum speed to maintain road contact over a bump?

The maximum speed to maintain road contact over a bump varies depending on the size and shape of the bump, the suspension of the vehicle, and the condition of the road. Generally, it is recommended to slow down when approaching a bump to reduce the impact and maintain control of the vehicle.

2. How does the suspension of a vehicle affect the maximum speed to maintain road contact over a bump?

The suspension of a vehicle plays a crucial role in maintaining road contact over a bump. A well-designed suspension system can absorb the impact of the bump and keep the wheels in contact with the road, allowing for a higher maximum speed. However, a worn-out or damaged suspension can decrease the maximum speed and compromise the stability of the vehicle.

3. Can driving too fast over a bump cause damage to the vehicle?

Yes, driving too fast over a bump can cause damage to the vehicle. The impact of the bump can put excessive strain on the suspension, tires, and other components of the vehicle. It can also cause the vehicle to lose control and potentially lead to accidents. It is important to drive at a safe speed and avoid hitting bumps at high speeds.

4. How can I determine the maximum speed to maintain road contact over a bump?

The best way to determine the maximum speed to maintain road contact over a bump is to test it under controlled conditions. Find a safe and empty road with a similar type of bump and gradually increase your speed until you feel the vehicle losing contact with the road. This speed should be considered the maximum speed for that particular bump.

5. Is it possible to maintain road contact over a bump at high speeds?

Yes, it is possible to maintain road contact over a bump at high speeds with a well-designed suspension and proper driving techniques. However, it is not recommended to attempt to maintain road contact at excessively high speeds, as it can be dangerous and cause damage to the vehicle.

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