Answer:
Explanation:
Newton's law of gravitation states that the force exerted by a body on another body is calculated as below:
F = GM1•M2 / r²
Where
Mass of moon is
Mm = 7.36 × 10²² kg
Mass of earth is
Me = 5.98 × 10²⁴kg
Mass of sun
Ms = 1.99 × 10^30 kg
Gravitational constant
G = 6.673 × 10^-11 Nm²/C²
Earth-moon distance is
Rem = 3.84 × 10^8 m
Earth-Sun distance is
Res = 1.496 × 10¹¹ m
So, distance from the sun to the moon can be calculated using
The distance from the sun to the moon is the difference between the distance from the earth to the sun and distance from the earth to the moon
Rms = Res — Rem
Rms = 1.496 × 10¹¹ — 3.84 × 10^8
Rms = 1.49216 × 10¹¹ m
Gravitational force exerted by the moon on the sun can be calculated using
Fms = G•Mm•Ms / Rms²
Fms = 6.673 × 10^-11 × 7.36 × 10²² × 1.99 × 10^30 / (1.49216 × 10¹¹)²
Fms = 4.39 × 10^20 N
Then, the gravitational force exerted on the moon by the sun is 4.39 × 10^20N
Extra.....
We can also calculate the force exerted on the earth by the sun using
Fes = G•Me•Ms / Res²
You can compute that by inserting the parameters above
Also we can find the force exerted by earth on the moon using
Fem = G•Me•Mm / Rem²
You can also compute this
The gravitational force exerted on the moon by the Sun is 4.39×10²⁰ N
From the question given above, the following data were obtained:
Mass of Sun (Mₛ) = 1.99×10³⁰ kg
Mass of moon (Mₘ) = 7.36×10²² kg
Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
Earth-moon distance = 3.84×10⁸ m
Earth-Sun distance = 1.496 × 10¹¹ m
Sun-moon distance (r) = 1.496 × 10¹¹ – 3.84×10⁸
Sun-moon distance (r) = 1.49216×10¹¹ m
The gravitational force exerted on the moon by the Sun can be obtained as follow:
[tex]F = \frac{GM_sM_m}{ {r}^{2} } \\ \\F = \frac{6.67 \times {10}^{ - 11} \times 1.99 \times {10}^{ 30} \times7.36 \times {10}^{ 22}}{ {(1.49216 \times {10}^{11} })^{2} } \\ \\ F = 4.39 \times {10}^{20} \: N[/tex]
Therefore, the gravitational force exerted on the moon by the Sun is 4.39×10²⁰ N
Learn more: https://brainly.com/question/25820038
