Calculating Gravitational Potential Energy: A to B

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SUMMARY

This discussion focuses on calculating gravitational potential energy between two points, A and B, where point B is located 1000 km above point A on the Earth's surface. The gravitational potential energy equation used is U = -GMm/r, with G as the gravitational constant and M as the mass of the Earth. The calculations provided include the gravitational potential at point A as -6.26 x 1029 J/kg and at point B as -5.41 x 1029 J/kg. The energy expended for a 10 kg mass to reach point B from A is calculated as -5.41 x 1030 J.

PREREQUISITES
  • Understanding of gravitational potential and gravitational potential energy
  • Familiarity with the gravitational constant (G = 6.67 x 10-11 N m2/kg2)
  • Knowledge of Earth's mass (M = 5.98 x 1024 kg)
  • Basic skills in algebra for manipulating equations
NEXT STEPS
  • Study the derivation of gravitational potential energy equations
  • Learn about the implications of gravitational potential in astrophysics
  • Explore the concept of gravitational fields and their applications
  • Investigate the effects of altitude on gravitational potential energy
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Students in physics, educators teaching gravitational concepts, and anyone interested in understanding gravitational forces and energy calculations.

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(a) calculate the gravatational potential pf a point A on the surface of the Earth
(b) what is the gravatational potential of a point B, 1000km above A?
(c) How much energy is expended if an object of mass 10kg were to just reach point B from A?

I know the eq. for gravatational potential energy is U=-GMm/r ...but what do i use as my 2nd mass ? :confused: please help I am really lost :frown:
 
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There is a difference between gravitational potential and gravitational potential energy.

Gravitational potential is the potential energy per unit mass of an object due to its position in a gravitational field. The gravitational potential due to a point mass:

Eg = -GM/r, where M is the mass of the object responsible for the gravitational field, whereas

gravitational potential energy is given by

mEg = -GMm/r

Please refer to this page - http://hyperphysics.phy-astr.gsu.edu/hbase/gpot.html

and the following plates including - http://hyperphysics.phy-astr.gsu.edu/hbase/gpot.html#gpi .
 
Last edited:
Are my calculations correct? just want to make sure>
a) -6.67*10^11 * 5.98*10^24/6.37*10^6 = -6.26*10^29

b)-6.67*10^11 * 5.98*10^24/ 6.37*10^6+1000*10^3 = -5.41*10^29

C)-6.67*10^11*5.98*10^24*10/6.37*10^6+1000*10^3 = -5.41*10^30
 

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