Interior to the Earth, the gravitational attraction varies directly as the distance from the centre of the Earth. What is the work necessary to lift a mass weighing 1 kg at the surface from the centre to the surface? Assume that the radius of the Earth is 6,400 km and the force of attraction of the Earth on a mass at its surface is 9.8 Newtons.
A) 24,260 N . km
B) 31,360 N . km
C) 36,480 N . km
D) 42,400 N . km
E) none of the above
Correct Answer:
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