Physics, 31.12.2019 05:31 jess4791

At some point along the direct path from the center of the earth to the center of the moon, the gravitational force of attraction on a spacecraft from the moon becomes greater than the force from the earth. a) how far from the center of the earth does this occur? b) at this location, how far is the spacecraft from the surface of the moon? c) how far is it from the surface of the earth?

Answers: 3

Show answers

Answers

Answer from: erinmcdonaldr6860

a) r₁ = 3.4565 10⁸ m , b) $H_{m}$ = 3.661 10⁷ m , c) $H_{e}$ = 3.39 10⁸ m

Explanation:

a) For this exercise we will use Newton's second law where the forces are of gravitational attraction

F = G m M / r²

Let's locate the point where the forces are equal and from here we know which way they are greater

F₁ - F₂ = 0

F₁ is the force of attraction from Earth and F₂ the force of attraction from the Moon, let's use the subscript "e" for the Earth and the subscript "m" for the Moon

G m $M_{e}$ / r₁² = G m $M_{m}$ / r₂²

$M_{e}$ / $M_{m}$ = (r₁ / r₂)²

Let's measure the distance from the same reference system, which we will place in the center of the Earth

r₁ = r₁

r₂ = D - r₁

Where D is the distance from beats to the Moon, substitute

r₁ / D-r₁ = √ $M_{e}$ / $M_{m}$

r₁ / D-r₁ = √ (5.98 1024 / 7.36 1022) = 9.0139

r₁ = 9.0139 (D -r₁)

r₁ (1+ 9.0139) = 9.0139 D

r₁ = 9.0139 / 10.0139 D

r₁ = 0.9001 3.84 10⁸

r₁ = 3.4565 10⁸ m

It is this point sides forces are equal for greater distances the force of the moon exceeds the attraction of the Earth

b) The radius of the moon is

$R_{m}$ = 1.74 10⁶ m

The distance measured from the Moon is

r₂ = D -r₁

r₂ = 3.84 108 - 3.4565 108

r₂ = 0.3835 108 m

r₂ = 3.835 107 m

The distance r₂ is measured from the center of the Moon, the distance measured from the surface is

$H_{m}$ = r₂ - $R_{m}$

$H_{m}$ = 3.835 10⁷ - 1.74 10⁶

$H_{m}$ = 3.661 10⁷ m

c) The distance from the Earth's surface is

$H_{e}$ = r1 - $R_{e}$

$H_{e}$ = 3.4565 10⁸ - 6.37 10⁶

$H_{e}$ = 3.39 10⁸ m

Answer from: Quest

B, if it was a lower watt she could put it in for her normal time and not burn it

Answer from: Quest

the five characteristics of adolescence are biological growth and development, and undefined status, increased decision making, increased pressure and the search of self.

Another question on Physics

Physics, 21.06.2019 13:10

Asmall blob of putty of mass m falls from the ceiling and lands on the outer rim of a turntable of radius r and moment of inertia i0 that is rotating freely with angular speed ω0 about its vertical fixed-symmetry axis. (use any variable or symbol stated above as necessary.)

Answers: 2

Answer

Physics, 22.06.2019 05:50

Give your knowledge of these things in your paper, you will compare and contrast analog and digital signals to determine which is more reliable for encoding and transmitting information. you’ll compare these features: signal shape numerical values for signal measurements amount of data that can be transmitted energy requirements privacy and security (ability of the signal to be encoded in a secret code) clarity of signal in the space provided, write down what you already know about any of these features. if you’re not sure, write down questions you might have about the features.

Answers: 3

Answer

Physics, 22.06.2019 09:10

Which lists the organs in the correct order as food passes from the mouth to anus?

Answers: 1

Answer

Physics, 22.06.2019 12:30

Write a full page that sumerizes thermodynamics it’s from the website visionlearnig

Answers: 1

Answer

You know the right answer?

At some point along the direct path from the center of the earth to the center of the moon, the grav...