Work and gravitational potental energy

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SUMMARY

The discussion focuses on calculating the work done by gravitational force and the change in gravitational potential energy for a system consisting of a thin rod and a ball. The rod, with a length of 2.00 m, pivots about one end, while a 5.00 kg ball is attached to the other end. The gravitational work is calculated using the formula W = 5 x 9.8 x 2(1 - cos(30)), where the term (1 - cos(30)) represents the vertical displacement of the ball as it descends from the angle of 30 degrees to the lowest point.

PREREQUISITES
  • Understanding of gravitational potential energy concepts
  • Familiarity with basic trigonometry, specifically cosine functions
  • Knowledge of work-energy principles in physics
  • Ability to apply Newton's laws of motion
NEXT STEPS
  • Study the derivation of gravitational potential energy formulas
  • Learn about the principles of rotational dynamics
  • Explore the concept of energy conservation in mechanical systems
  • Investigate the application of trigonometric identities in physics problems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of gravitational potential energy and work calculations.

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Homework Statement


A thin rod, of length L = 2.00 m and negligible mass, that can pivot about one end to rotate in a vertical circle. A ball of mass m = 5.00 kg is attached to the other end. The rod is pulled aside to angle theta = 30 and released with initial velocity v= 0. As the ball descends to its lowest point, (a) how much work does the gravitational force do on it and b) what is the change in the gravitational potental energy of the ball - Earth system?.. etc.


Homework Equations





The Attempt at a Solution


In the solution, they show W = 5 x 9.8 x 2(1- cos30)

where do they get the 1-cos30??
 
Physics news on Phys.org
W = Work at one step- Work at another step

= 5 x 9.8 x 2(1) - 5 x 9.8 x 2(cos30)
 

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