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den301095 [7]
3 years ago
14

7. Kepler’s Third Law of Orbital Motion states that you can approximate the period P (in Earth years) it takes a planet to compl

ete one orbit of the sun using the function , where d is the distance (in astronomical units, AU) from the planet to the sun. How many Earth years would it take for a planet that is 6.76 AU from the sun? 15.23
17.58
154.46
3.58
Physics
2 answers:
irga5000 [103]3 years ago
8 0

In your question, this function is supposed to be in the little space after the word "function":

(square of the orbital period) = k · (cube of the distance from the sun)

' k ' is the same number for every solar-system object

To answer the question, we first have to find out what ' k ' is.  Since it's the same number for every planet in our solar system, we can find ' k ' for the Earth, and then use it for the mystery planet.

Period = 1 Earth year

Distance = 1 Astronomical unit

P² = k · D³

1² = k · 1³

k = 1  

Now for the mystery planet:  

P² = k · D³

P² = 1 · (6.76)³

P² = 308.9 Earth years²

P = √308.9

<em>P = 17.58 Earth years</em>

Angelina_Jolie [31]3 years ago
4 0

Answer: The planet will take 17.58 earth years

Explanation:

Mass of the sun = 1 Solar

Time period  of planet = T

Distance between the earth and planet = 6.67 AU

G = gravitation constant = 39.478 AU^3 y^{-2} MS^{-1}

Using Kepler's third law:

T^2=\frac{4\pi^2}{G M_{sun}}\times r^3

T^2=\frac{4\times 3.14\times 3.14}{39.478 AU^3 y^{-2} MS^{-1}\times 1 MS}\times (6.76 AU)^3

T^2=308.605 y^2

T = 17.567156 years

The closest answer from the option is 17.58 years

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F = k q x q / r² ( r is distance between two sphere , r = 2 x .7 x sin17  = .41 m )

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PRACTICE ANOTHER A cube of wood having an edge dimension of 19.7 cm and a density of 647 kg/m3 floats on water. (a) What is the
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CHECK COMPLETE QUESTION

The cube of wood having an edge dimension of 19.7cm and a density of 647kg/m3 floats on water

(a) What is the distance from the horizontal top surface of the cube to the water level answer in cm

(b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface answer in kg

Answer:

a)6.29cm

b)2.78 kg

Explanation:

Given:

Let us calculate the volume first, we were given dimension as 19.7cm=0.197m

Volume is (0.197 meters)³ = 0.00764m³

Then we can calculate the mass as;

Given mass is 647 kg/m³ x 0.00774m³ = 4.947kg

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which is equal to the weight of volume of the displaced water. Or the mass, the calculation is the same.

We know that density of fresh water at 20ºC is 998 kg/m³

Then we can calculate the volume of displaced water as

4.947 kg / 998 kg/m³ = 0.00496 m³

We know that the displaced water has a shape of a rectangular solid with 0.197 meters on the two horizontal dimensions, and h as the height to the surface then

V = 0.197²h = 0.00496

0.00496= 0.197²h

h = 0.1278 meters or 12.78 cm

Then the the distance exposed, would be 19.7–12.78 = 6.29 cm

b) ifthe cube is fully submerged, the volume of the displaced water is 0.00774m³

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Added mass is the mass of the displaced water – mass of block

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<h3>What is the Weber fraction?</h3>

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Therefore, we can confirm that this ratio (turning up the volume by one click relative to the TV's overall volume) can be quantified as the Weber fraction.

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