Speed bump question - Newton's laws

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Homework Help Overview

The discussion revolves around the physics of motion as it relates to driving over a speed bump, specifically through the lens of Newton's laws. Participants explore the forces experienced by a driver when transitioning over a bump shaped like an arc of a circle.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of inertia and how it relates to the feeling of being lifted from the seat. There are questions regarding the forces acting on the driver, particularly the normal force exerted by the seat and how it changes during circular motion.

Discussion Status

The conversation is active with participants questioning the nature of forces during circular motion and the implications for the normal force. Some guidance has been offered regarding the relationship between weight and the forces experienced while going over the bump, but no consensus has been reached on the exact calculations or outcomes.

Contextual Notes

Participants are working within the constraints of a homework problem that requires them to apply Newton's laws and consider the effects of circular motion on forces. There is an emphasis on understanding the physical concepts rather than simply calculating a numerical answer.

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You're driving down the road at 8 m/s and go over a speed bump. When you go over the bump, you feel lifted from your seat. Explain why.


I assumed it was because of inertia, but I'm not sure.

You weigh 700 N. If it is approximated that the speed bump is shaped like an arc of a circle, with radius of 10 m, find the magnitude of force the seats exerts on you as you go over the speed bump.

If F = mv^2/r, then would you just plug everything in directly?
 
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The seat normally pushes upward on you with 700 N (because you push down on it with 700 N weight). While in circular motion, though, you experience a centrifugal force upward that reduces the 700 N.
 
So while in circular motion, you aren't pushing down on the seat with 700 N so you are lifted up?
 
It is unlikely you will float up off the seat - that would take a terrific speed - but the force pressing you against the springs of the seat will be reduced so the spring compression will be less and you will go up a little bit.
 
But would the seat still exert 700 N upward? I mean, would I just plug in the numbers into the equation for the second part?
 
700 - mv^2/r
 

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