Explain speed limits on curved ramp with Newton's Laws

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Speed limits on curved ramps are essential for transportation safety, as they relate to Newton's Laws of Motion. According to Newton's first law, objects in motion tend to stay in motion, making it difficult for vehicles to brake effectively on curves. The radius of curvature affects speed limits, with tighter curves requiring lower speeds to maintain control. Additionally, factors like road surface conditions impact friction and braking ability, further influencing speed limits. Understanding these principles is crucial for setting safe driving regulations on curved ramps.
Mayp

Homework Statement


Discuss how Newton’s Laws can be used to explain the introduction of transportation
safety features such as:

Speed Limits on curved ramps

Homework Equations


Newton's 2nd Law: F=ma

The Attempt at a Solution


I believe that according to Newton's first law objects that are in motion would want to stay in motion. So it would be harder for a car to break on a curved ramp, as it gravitates towards the centre of the curve.

Im not sure how the second and third law apply to this question though
 
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Mayp said:
I believe that according to Newton's first law objects that are in motion would want to stay in motion. So it would be harder for a car to break[/color] on a curved ramp, as it gravitates towards the centre of the curve.
Did you mean "brake"?
Even so, you did not explain why a curved ramp has a speed limit. You may wish to think about what considerations go into setting that speed limit. Why is the speed limit lower when the radius of curvature is smaller? Why is it easier to make the turn when the ramp is tilted inward as opposed to being horizontal? Why is it easier to make a turn when the road is dry as opposed to icy? And so on ...
 
I know that there is less friction on an icy road rather than a dry one, as the coefficient of friction is less with rubber on ice as supposed to rubber on concrete or asphalt. Same with it being wet as the coefficient of friction is less, resulting with less friction, and being unable to slow down faster. We haven't really gone into curvature so based on something I read on a forum I assumed the car would gravitate towards the centre of the curve, however, we had not learned this in class. I also know the third law is for every action there is equal and opposite force, however, I don't see how this applies to this situation. I know that the car has a force on the road, and the road is pushing up on the car, but does that have anything to do with the speed?
 
Mayp said:
I know that there is less friction on an icy road rather than a dry one, as the coefficient of friction is less with rubber on ice as supposed to rubber on concrete or asphalt. Same with it being wet as the coefficient of friction is less, resulting with less friction, and being unable to slow down faster. We haven't really gone into curvature so based on something I read on a forum I assumed the car would gravitate towards the centre of the curve, however, we had not learned this in class. I also know the third law is for every action there is equal and opposite force, however, I don't see how this applies to this situation. I know that the car has a force on the road, and the road is pushing up on the car, but does that have anything to do with the speed?
There is quite a bit of extraneous stuff there.

Let's go back to something you stated in your first post.
Mayp said:
I believe that according to Newton's first law objects that are in motion would want to stay in motion.

There's a bit more to Newton's first law. What is the full statement of this Law ?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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