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Define the term gravitational potential. Derive …

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Define the term gravitational potential. Derive an expression for the gravitational potential at a point in the gravitational field of the earth.
  • 1 answers

Yogita Ingle 6 years, 10 months ago

Change in gravitational potential energy of a system is defined as the -ve of the work done by the gravitational force as the configuration of the system is changed.

Uf - Ui = Wgr

Change in gravitational potential energy of two point masses m1 and m2 as their separation is changed from r1 to r2 is given by
U(r2) - U(r1) = Gm1m2 [1/r1 - 1/r2]

If, at infinite separation, gravitational potential energy is assumed to be zero, then the gravitational potential energy of the above two point mass system at separation r,
U(r) = -G m1m2/r

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