Determine the gravitational force that one body exerts on the other. Assume that

Question

Determine the gravitational force that one body exerts on the other. Assume that the Moon's orbit about Earth to be circular, and ignore interactions with other masses.

A. Determine the gravitational force that the Sun exerts on the Moon. (Assume mS = 1.99×10^30 kg is the mass of the Sun, mM = 7.35×10^22 kg is the mass of the Moon, and rSM = 1.50×10^11 m is the mean distance between the Sun and the Moon.

B. Determine the gravitational force that Earth exerts on the Moon. (Assume mE = 5.98×10^24 kg is the mass of the Earth, rEM = 3.84×10^8 m is the mean distance between the Earth and the Moon.)

C. Determine the gravitational force that the Moon exerts on Earth.

Explanation / Answer

gravitational force = G*Mm / r2

G = 6.67 *10-11 m3 kg-1 s-2

A

M =1.99*1030 , m =mM = 7.35×10^22

r = rSM = 1.50×10^11

so put all values in first formula & we got

F = 4.3359 *1020 N

B

M = 5.98×10^24 kg

m = mM = 7.35×10^22 kg

rEM = 3.84×10^8

so F = 1.988*1020 N

C

force that the Moon exerts on Earth = force that the Earth exerts on Moon

F = 1.988*1020 N

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