Optimizing Skate Velocity: Static vs. Kinetic Friction

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Homework Help Overview

The discussion revolves around optimizing the average velocity of a skate by analyzing the effects of static and kinetic friction coefficients, as well as the distance between lines in a skating context.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants explore the impact of varying friction coefficients on skate velocity, questioning whether increasing or decreasing these coefficients would be beneficial. There is also confusion regarding the context of "lines" mentioned in the problem statement.

Discussion Status

The discussion is active, with participants clarifying concepts related to friction and its role in motion. Some guidance has been offered regarding the nature of static friction, but there is no explicit consensus on the optimal approach to the problem.

Contextual Notes

Participants note potential missing information in the problem statement, particularly regarding the reference to "lines" and the context of the scenario, which may affect interpretations of the friction coefficients.

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Homework Statement


Which of the following could help to increase average velocity of the left skate of the person:

Decreasing the static friction coefficient between the skate and the ground.

Increasing the static friction coefficient between the skate and the ground.

Decreasing the kinetic friction coefficient between the skate and the ground.

Increasing the kinetic friction coefficient between the skate and the ground.

Increasing the distance between the lines (circa 5m)

Decreasing the distance between the lines.

Homework Equations

The Attempt at a Solution



I think increasing the static friction and decreasing the kinetic friction would help. Static friction works in the direction of motion, does it?
 
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Poetria said:
Increasing the distance between the lines
What lines? Have you left out some of the problem statement? I would have guessed the distance between the feet, but 5m stretches more than just the imagination.
Poetria said:
Static friction works in the direction of motion, does it?
Friction, whether static or kinetic, opposes relative motion of the surfaces in contact. It will work in the direction of motion of the body (skater, walker, car, train...) if the part in contact with the ground is trying to go the other way.
 
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Oh it is my fault. It is a video, you know. I have drawn it.

Yes, I know that friction opposes motion but if you push ice with a skate to gain speed, isn't the static friction opposing pushing but favouring gliding?
The example of a dog running on ice was simpler. :)
 

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Poetria said:
Yes, I know that friction opposes motion but if you push ice with a skate to gain speed, isn't the static friction opposing pushing but favouring gliding?
The example of a dog running on ice was simpler. :)
Yes, indeed, static friction on the skate you're pushing back on is vital. But in your first post you wrote that 'static friction works in the direction of motion', and that is not always true. When a car brakes it opposes the motion of the vehicle. What is true in both cases is that it opposes relative motion of the surfaces in contact. In the case of the skate, the skater is pushing backwards on the skate. By resisting that relative motion, the static friction pushes the skater forwards.
 
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Oh, yes, I admit, I was very imprecise. I got it. Many thanks :)
In the case of a dog it is better to increase both kinds of friction: the static and the kinetic because there is no sliding involved.
 

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