How High Does the Crate Reach on the Lunar Crater's Inclined Plane?

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SUMMARY

The discussion focuses on calculating the maximum height (ymax) reached by a crate sliding down a frictionless lunar crater and then ascending an inclined plane with kinetic friction. The relevant equation derived is mgy = mgh - (k*n)y/sin(θ), where 'n' represents the normal force. Participants emphasize the importance of accurately calculating the normal force to solve the problem correctly. The use of energy methods is highlighted as the primary approach to determine ymax.

PREREQUISITES
  • Understanding of gravitational potential energy (Ug = mgy)
  • Knowledge of kinetic friction and its coefficient (k)
  • Familiarity with inclined planes and angles (θ)
  • Basic principles of energy conservation in physics
NEXT STEPS
  • Calculate the normal force on an inclined plane with friction
  • Explore energy conservation principles in non-conservative systems
  • Study the effects of different coefficients of friction on motion
  • Learn about the dynamics of motion on curved surfaces
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to clarify concepts related to inclined planes and friction in real-world applications.

Leesh09
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Homework Statement



A crate with scientific equipment slides down a curved frictionless side of lunar crater of the depth h, and then up along the other side which is an inclined plane. The coefficient of kinetic friction between crate and incline is k, and the inclined side makes an angle θ with the horizontal. Use energy methods to find the maximum height ymax reached by the crate.


Homework Equations



Ug=mgy
I know there are others but I'm not sure what is relevant

The Attempt at a Solution


Right now I have something like mgy=mgh-(k*n)y/sin theta.

I'm pretty sure this is terribly wrong but I need help with some explanation to it. Please!
 
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That looks right, you just need to calculate the normal force, which you have designated as 'n'.
 

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