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Marysya12 [62]
3 years ago
15

The moon has a mass of 7.34 . 1022 kg and a radius of 1.74. 10 meters. If you have a mass of 66

Physics
1 answer:
OverLord2011 [107]3 years ago
5 0

Answer: F = 106.72 N

Explanation: <u>Newton's</u> <u>Law</u> <u>of</u> <u>Universal</u> <u>Gravitation</u> states that two masses attract each other by a force pointing in a straight line to the center-of-mass of both masses.

It is directly proportional to the masses and inversely proportional to the square of their distance, represented as:

F=G\frac{m_{1}m_{2}}{r^{2}}

where

G is gravitational constant whose value is 6.67x10⁻¹¹ N(m/kg)²

m are masses in kg

r is distance in m

The force between the moon and a person with mass of 66kg is:

F=6.67.10^{-11}\frac{66(7.34.10^{22})}{(1.74.10^{6})^{2}}

F=\frac{3231.215.10^{11}}{3.0276.10^{12}}

F = 106.72 N

The force between a person with mass of 66kg and the moon is 106.72 N.

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directed towards the positive side of the y-axis

Charges 1 and 3

Let's find the distance using the Pythagorean Theorem

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The direction of this force is on the line that joins the two charges (1 and 3), let's use trigonometry to find the components of this force

           tan θ = y / x

           θ = tan⁻¹ y / x

          θ = tan⁻¹ 0.3 / 0.4

           tea = 36.87º

    The angle from the positive side of the x-axis is

         θ ’= 180 - θ

        θ ’= 180 - 36.87

        θ ’= 143.13º

       sin143.13 = F_13y / F₁₃

           F_13y = F₁₃ sin 143.13

           F{13y} = 1.697 10⁻² sin 143.13

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            cos 143.13 = F_13x / F₁₃

           F₁₃ₓ = F₁₃ cos 143.13

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           tea '= pi - 1,448

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