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Gravitational Potential Energy

The gravitational potential energy of a body at a point is defined as the amount of work done in bringing the body from infinity to that point against the gravitational force.
 
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Fig. 12
  • Relation between gravitational potential energy and potential,
     
    46203.png
     
    ∴ U = mV
  • Gravitational potential energy at the center of Earth relative to infinity,
     
    Ucenter = mVcenter 46197.png
  • Gravitational potential energy of a body at height h from the Earth surface is given by
     
    46191.png




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