Asked by jess
A 715 kg object is lifted from the surface of the earth to a height of 880 kg above the surface of the earth.
Calculate the increase in gravitational potential energy using the exact expression and compare it with the approximate expression using g=9.81. Give the magnitude of the difference between the two expressions divided by the exact result (that is the relative error) as your answer. Use 6.0x10^24 kg, 6.4x10^6 m and 6.67x10^-11 for the earth mass, earth radius and the Gravitational Constant G, respectively.
Calculate the increase in gravitational potential energy using the exact expression and compare it with the approximate expression using g=9.81. Give the magnitude of the difference between the two expressions divided by the exact result (that is the relative error) as your answer. Use 6.0x10^24 kg, 6.4x10^6 m and 6.67x10^-11 for the earth mass, earth radius and the Gravitational Constant G, respectively.
Answers
Answered by
bobpursley
The exact PE is:
PE= GMe*m/r where r is the distance from the center of the Earth.
So compute it for both r, then subtract.
What bothers me about this question, is that you are asking for a comparision to 9.81, a three digit expression, but then using "exact" constants to two significant (three in the case of G) digits. That of course, is sheer nonsense.
PE= GMe*m/r where r is the distance from the center of the Earth.
So compute it for both r, then subtract.
What bothers me about this question, is that you are asking for a comparision to 9.81, a three digit expression, but then using "exact" constants to two significant (three in the case of G) digits. That of course, is sheer nonsense.
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