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# As defined in Chapter 7, gravitational potential energy is ## Problem 10DQ Chapter 13

University Physics | 13th Edition

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Problem 10DQ

As defined in Chapter 7, gravitational potential energy is ?U = ?mgy and is positive for a body of mass m above the earth’s surface (which is at y ? = 0). But in this chapter, gravitational potential energy is ?U = ??Gm?E?m?/?r?. which is negative for a body of mass m above the earth’s surface (which is at r ? = ? ?E). How can you reconcile these seemingly incompatible descriptions of gravitational potential energy?

Step-by-Step Solution:

Solution 10DQ Introduction We have to discuss why there is this apparent anomaly in the sign of gravitational potential. Step 1 The gravitational energy is given by GmEm U = r Now at the surface of the earth the= R E, the potential energy is given by Gm E U s RE And the potential energy at a height y is given by Since y R ,Ewe are we are neglecting the higher order term in the binomial distribution...

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