How does kinetic friction change around a curve

In summary, when running in a straight line with proportional kinetic friction, the normal force increases when running around a curve due to the local radius of curvature, which can be thought of as a perfect circle at that point along the curve. This is confirmed by a second opinion.
  • #1
kingkongsr.
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If I am running in a straight line, and I am experiencing kinetic friction that is proportional to my weight, i.e. my normal force, then when I run around a curve, does my normal force increase by my velocity squared divided by the radius of the turn as if it were a perfect circle ( {(v^2/r)+([weight of runner]*gravity)}*(kinetic friction coefficient) = kinetic friction)?
 
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  • #2
You experience static friction when you run. There is no relative motion between your shoes and the ground.

As for your main question, yes. The normal force, and thus the static or dynamic friction, increases due to the turn. The radius is the local radius of curvature at that instant along the curve. You can think of it as a perfect circle of radius, r, at that point along the curve at that instant. (Each point along the curve has a different radius for any general curve, if the curve is a circle the the radius is the same at all points along the circle)
 
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  • #3
thank you Cyrus.

thank you very much Cyrus. I just needed a second opinion other than my own
 

FAQ: How does kinetic friction change around a curve

How does the shape of the curve affect the amount of kinetic friction?

The shape of the curve can greatly impact the amount of kinetic friction experienced. A sharper curve will result in a higher amount of kinetic friction compared to a more gradual curve. This is because the friction force is dependent on the normal force, which is perpendicular to the curve's surface. A sharper curve will have a higher normal force, thus increasing the kinetic friction.

Does the speed of the object affect the amount of kinetic friction around a curve?

Yes, the speed of the object does affect the amount of kinetic friction around a curve. As the speed increases, the kinetic friction also increases. This is because a higher velocity means the object has a greater tendency to continue moving in a straight line, making it more difficult to turn around the curve and creating a higher friction force.

How does the type of surface affect kinetic friction around a curve?

The type of surface can greatly impact the amount of kinetic friction experienced around a curve. Rougher surfaces will have a higher coefficient of friction, resulting in a higher friction force and therefore, a higher amount of kinetic friction around the curve. Smoother surfaces will have a lower coefficient of friction, resulting in a lower amount of kinetic friction around the curve.

Does the weight of the object affect the amount of kinetic friction around a curve?

Yes, the weight or mass of the object does affect the amount of kinetic friction around a curve. Heavier objects will experience a higher amount of kinetic friction compared to lighter objects. This is because the friction force is directly proportional to the normal force, which is dependent on the weight of the object.

How does the angle of the curve affect the amount of kinetic friction?

The angle of the curve can impact the amount of kinetic friction experienced. A steeper curve will result in a higher amount of kinetic friction compared to a shallower curve. This is because a steeper curve will have a higher normal force, thus increasing the friction force and resulting in a higher amount of kinetic friction.

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