Question: A spaceship is returning to Earth with its engine turned off. Consider only the gravitational field of Earth. Let M be the mass of Earth,

A spaceship is returning to Earth with its engine turned off. Consider only the gravitational field of Earth. Let M be the mass of Earth, m be the mass of the spaceship, and R be the distance from the center of Earth. In moving from position

1

to position

2

the kinetic energy of the spaceship increases by:

GMm

1

2

12

GMmR

2

1

22

1

12

GMm

1

2

12

22

GMm

1

2

1

2

GMm

1

22

+

1

12

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