Skier on a slope -- speed question

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SUMMARY

The discussion centers on calculating the speed of a skier at points C and D on a slope, starting from rest at the top. Key concepts include the application of energy conservation principles, specifically the relationship between kinetic energy (KE) and gravitational potential energy (PE). The gravitational acceleration is defined as g=9.81 m/s². It is established that the skier's mass is not required to determine the speeds at points C and D, as the problem can be solved using energy conservation without additional information.

PREREQUISITES
  • Understanding of kinetic energy (KE) and gravitational potential energy (PE)
  • Familiarity with the principle of energy conservation
  • Basic knowledge of vector diagrams
  • Concept of gravitational acceleration (g=9.81 m/s²)
NEXT STEPS
  • Study the conservation of mechanical energy in physics
  • Learn how to apply energy conservation to solve problems involving slopes
  • Explore the derivation of kinetic and potential energy equations
  • Investigate the effects of friction on energy conservation in real-world scenarios
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for examples of slope problems involving kinetic and potential energy calculations.

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Question: Beginning at rest from the top of the slope, what is the speed at C and at D?

I don’t understand how to solve this question without being given the skier’s mass, acceleration, time or angle.
I drew a triangle vector diagram with delta d1 using the distances given. And i made gravity positive downwards where g=9.8 m/s^2.
 

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Nayu said:
View attachment 238297 Question: Beginning at rest from the top of the slope, what is the speed at C and at D?

I don’t understand how to solve this question without being given the skier’s mass, acceleration, time or angle.
I drew a triangle vector diagram with delta d1 using the distances given. And i made gravity positive downwards where g=9.8 m/s^2.
Welcome to the PF.

Please do not delete the Template you are provided when starting a new schoolwork thread. It helps to organize your post to make it easier for us to help.

On your question, write down the relevant equations that relate the kinetic energy (KE) of the skier to their gravitational potential energy (PE). And how are KE and PE defined in terms of mass, speed, height, etc.?
 
Nayu said:
View attachment 238297 Question: Beginning at rest from the top of the slope, what is the speed at C and at D?

I don’t understand how to solve this question without being given the skier’s mass, acceleration, time or angle.
I drew a triangle vector diagram with delta d1 using the distances given. And i made gravity positive downwards where g=9.8 m/s^2.

Ahoihoi @ PF!

For future questions regarding homewrk please use the homework template.

Neglecting the friction you are able to solve the task without any more information - just apply energy conservation. And yes, consider ##g=9.81\,m/s##.

EDIT: ##g=9.81\,m/s^2## of course ... Thanks @berkeman
 
Last edited:

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