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. Part 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. Part 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. Part 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.

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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