at an instant, the earth, moon, and 1250kg spacecraft lie at thevertices of an e

Question

at an instant, the earth, moon, and 1250kg spacecraft lie at thevertices of an equilateral triangle whose sides are 3.84 *105 kmin length. a.) Find the magnitude & direction of the netgravitational force exerted on the spacecraft by the earth andmoon. State the direction as an angle measured from a lineconnecting the earth and the spacecraft. b.)What is theminimum amount of work that you have to do to move the spacecraftto a point far from earth and moon? (ignore gravitionaleffects from other planets and sun)

Explanation / Answer

   Given :     For part A, i think you have to use this equation twice,once for the force of the earth onthe spacecraft and once for the force of the moon on thespacecraft and add them. Then, i think you might need to draw adiagram and add the two vectors of these forces to find the netresultant force. F = GmM/r2 This example might help with part B How much energy is required to move a 1,000-kg mass fromEarth's surface to an altidue of h = 2 RE? For part A, i think you have to use this equation twice,once for the force of the earth onthe spacecraft and once for the force of the moon on thespacecraft and add them. Then, i think you might need to draw adiagram and add the two vectors of these forces to find the netresultant force. F = GmM/r2 This example might help with part B How much energy is required to move a 1,000-kg mass fromEarth's surface to an altidue of h = 2 RE? U = GMm ( 1/ri - 1/rf)       ri =RE       rf = RE +h = RE + 2RE = 3 RE    U = GMm ( 1/RE - 1/ 3RE )           =GMm ( 3-1 / 3RE )            =2/3 ( GMm 1/RE )           = 2/3 (6.672 * 10-11) ( 5.98 * 1024 ) ( 1000 )1/6.37*106    U =W = 4.176 * 1010 J     I hope it helps you

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