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At a certain instant, the earth, the moon, and a stationary 1020 kg spacecraft lie at...

At a certain instant, the earth, the moon, and a stationary 1020 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84×105km3.84×105km in length.

(a) Find the magnitude of the net gravitational force exerted on the spacecraft by the earth and moon.

Express your answer to three significant figures.

(b) Find the direction of the net gravitational force exerted on the spacecraft by the earth and moon. State the direction as an angle measured from a line connecting the earth and the spacecraft.

Express your answer to three significant figures.

(c) What is the minimum amount of work that you would have to do to move the spacecraft to a point far from the earth and moon? You can ignore any gravitational effects due to the other planets or the sun.

Express your answer to three significant figures.

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