8. 00/6.76 points l Previous Answers o 6 6.5.WA.050 Notes Ask Your At some point

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8. 00/6.76 points l Previous Answers o 6 6.5.WA.050 Notes Ask Your At some point during their orbit, the location of the Earth and Moon relative to the Sun w What are the magnitude and direction of the force the Moon the distance from the Moon to the Earth is 3.84 x 108 m and the distance from the Moon to the Sun is 1.50 x 1011 m.) ill be as shown in the figure below experienced by the Moon due to the Sun and the Earth? (The mass of is 7.35 × 1022 kg, the Earth has a mass 5.97 x 1024 kg, and the sun has a mass 2.00 x 1030 kg. In the figure, magnitude What are the magnitude and direction of the forces exerted by the Sun and the Earth on the Moon? N direction At what angle does the net force act?e below the Sun-Moon line Moon Sun Earth Additional Materials

Explanation / Answer

force exerted by sun on moon Fsm = G*Ms*Mm/(Rsm)^2

Fsm = (6.67*10^-11*2*10^30*7.35*10^22)/(1.5*10^11)^2

Fsm = 4.36*10^20 N towards sun

force exerted by earth on moon FEm = G*ME*Mm/(REm)^2

FEm = (6.67*10^-11*5.97*10^24*7.35*10^22)/(3.84*10^8)^2

FEm = 1.98*10^20 N

magnitude of net force on moon

Fm = sqrt(Fsm^2 + FEm^2)

Fm = sqrt((4.36*10^20)^2+(1.98*10^20)^2)

Fm = 4.79*10^20 N

===========================

direction = tan^-1(FEm/Fsm)

direction = 24.4degrees

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