When the Earth, Moon, and Sun form a right triangle, with the Moon located at th
ID: 2153825 • Letter: W
Question
When the Earth, Moon, and Sun form a right triangle, with the Moon located at the right angle, as shown in the figure(Figure 1) , the Moon is in its third-quarter phase. (The Earth is viewed here from above its North Pole.) Part A Find the magnitude of the net force exerted on the Sun. Part B Find the direction of the net force exerted on the Sun. Give the direction relative to the line connecting the Sun and the Moon. (deg toward the Earth off the line from the Sun to the Moon)
When the Earth, Moon, and Sun form a right triangle, with the Moon located at the right angle, as shown in the figure(Figure 1) , the Moon is in its third-quarter phase. (The Earth is viewed here from above its North Pole.) Part A Find the magnitude of the net force exerted on the Sun. Part B Find the direction of the net force exerted on the Sun. Give the direction relative to the line connecting the Sun and the Moon. (deg toward the Earth off the line from the Sun to the Moon)Explanation / Answer
Fe = G Ms Me/re^2
= 6.67e-11*1.99e30*5.98e24/(1.50e11*1.50e11)
= 3.52775 * 10^22 N
Fm = G Ms Mm/rm^2
= 6.67e-11*1.99e30*7.35e22/(1.50e11*1.50e11)-(3.82e8*3.82e8)
= 4.33597 * 10^20 N
F=(3.52775e22*3.52775e22)+(4.33597e20*4.33597e20)+2*3.52775e22*4.33597e20*(149999513586/1.50e11)
>>>> F = 3.57110956 * 10^22 N
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= arctan(3.52775e22*(3.82e8/1.50e11))/(4.33597e20+3.52775e22*149999513586/1.50e11)
>>>> = 0.144 degrees
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