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Gravitational Work and Force Approximation

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A spacecraft is at a distance of 10,000 km from the center of Earth. The work done by gravity as the spacecraft moves radially outward is to be approximated by assuming the gravitational force remains constant at its initial value. What is the maximum distance the spacecraft can travel for the error in this approximation to be less than 2%?

A

1000 km

B

100 km

C

500 km

D

200 km

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