At a certain instant, the earth, the moon, and a stationary 1000 kg spacecraft l

Question

At a certain instant, the earth, the moon, and a stationary 1000 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84*10^5 km in length. Ans for (a) was Fnet= 2.72N 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. 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. At a certain instant, the earth, the moon, and a stationary 1000 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84*10^5 km in length. Ans for (a) was Fnet= 2.72N 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. 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. At a certain instant, the earth, the moon, and a stationary 1000 kg spacecraft lie at the vertices of an equilateral triangle whose sides are 3.84*10^5 km in length. Ans for (a) was Fnet= 2.72N 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. 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.

Explanation / Answer

follow Let 'm' be the mass of air craft, Re and Rm the vectors whose initial points are at spacecraft and final points are at earth and Moon respectively. Let magnitude of Re = magnitude Rm = R and Me and Mm be the masses of earth and moon respectively. Fe = G*Me*m/R^2 and Fm = G*Mm*m/R^2 angle between them is 60, Resultant Force

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