a) At what point in space should a mass m=100kg be placed so that the Sun\'s gra

Question

a) At what point in space should a mass m=100kg be placed so that the

Sun's gravitational force on it is equal in magnitude but opposite in

direction to the Earth's gravitational force on it?

(b) What is the gravitational potential energy of the mass m at this

location? You will have to include contributions from both the Sun and

the Earth.

(c) At what point should the mass m be placed so that the gravitational

force of the Sun is equal to and in the same direction as the Earth's

gravitational force?

(d) How much work would be required to move the mass m from the

location in (a) to the location in (c)?

Explanation / Answer

a) At what point in space should a mass m=100kg be placed so that the Sun's gra

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