At a certain instant, the earth, the moon, and a stationary 1360kg spacecraft li

Question

At a certain instant, the earth, the moon, and a stationary 1360kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84 times 105 km in length. Find the magnitude of the net gravitational force exerted on the spacecraft by the earth and moon. Express your answer to three significant figures. 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. 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.

Explanation / Answer

F : the force we have to find.
Fe : the force due to earth on the satelite
Fm: thr force due to moon on the satelite
M(e) ; The mass of earth
M(m) : The mass of moon.
m : mass of satelite.

Fe = GM(e)*m/ R^2; Fm = GM(m)*m/ R^2
F(e) /F(m) = M(e) / M(m) = k = 5.978e24/ 7.353e22 =7.353e+22
Angle between the two forces is 60

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