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Leno4ka [110]
3 years ago
13

What gravitational force does the moon produce

Physics
1 answer:
saul85 [17]3 years ago
6 0

Answer:

1.94\cdot 10^{20} N

Explanation:

The magnitude of the gravitational force between two objects is given by the equation:

F=G\frac{m_1 m_2}{r^2}

where

G is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between the objects

The gravitational force is always attractive.

In this problem, we have:

m_1 = 5.98\cdot 10^{24}kg is the mass of the Earth

m_2 = 7.34\cdot 10^{22} kg is the mass of the Moon

r=3.88\cdot 10^8 m is the separation between the Earth and the Moon

Therefore, the gravitational force between them is

F=(6.67\cdot 10^{-11})\frac{(5.98\cdot 10^{24})(7.34\cdot 10^{22})}{(3.88\cdot 10^8)^2}=1.94\cdot 10^{20} N

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F = 130 revs/min = 130/60 revs/s = 13/6 revs/s
t = 31s
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wf² - wi² = 2a∅
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n = ∅/2π = (1209π/18)/(2π) = 1209/36 ≈ 33.5833 revolutions.
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