Potential energy problem pls help

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SUMMARY

The discussion centers on calculating the x-component of the force derived from the potential energy function U(r, θ) = A cos(θ) / r², where A is given as 46 N∙m³. Participants emphasize the importance of understanding polar coordinates and the relationship between potential energy and force. The x-component of the force can be determined by applying the gradient of the potential energy function in polar coordinates.

PREREQUISITES
  • Understanding of polar coordinates in physics
  • Knowledge of potential energy and force relationships
  • Familiarity with calculus, specifically differentiation
  • Basic skills in vector analysis
NEXT STEPS
  • Learn how to calculate force from potential energy using gradients
  • Study the application of polar coordinates in physics problems
  • Explore differentiation techniques for multivariable functions
  • Investigate vector components and their calculations in physics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the application of potential energy in polar coordinates and its implications in force calculations.

xgoodtimesx
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The potential energy in space is given as a function of polar coordinates by the following:


U(r , therta) = Acos therta / r^2


Given that A = 46 N∙m3, determine the x-component of the corresponding force at the location x = 1.7 m, y = 1.2 m.

pls derive a formula to solve this equation
 
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Hi xgoodtimesx! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
Hi tim,

the problem is i don't even know where to start x_X stuck in the begining
 

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