How does the mass of and distance between the Sun and the Earth impact the number of days in a year?

Answer:

Gears A and B work together. Gear A turns 30 times when Gear B turns 45 times. When Gear B turns 12 times, how many times does Gear A turn?

We use Kepler's third law to find the correct answer is:

Kepler's third law is a direct application of second Newton's law the motion of the planets around the Sun, if we assume that the orbit is circular the deduction is

            F = m a

where F is the force of attraction between the Sun and the planet, m is the mass of the planet and a is the ccentripetal acceleration.

The force is given by universal gravitation law, which says that the force of attraction between two bodies is directly proportional to the mass of the bodies and inversely proportional to the square of the distance between them, this force is attractive

          F = [tex]G \frac{M \ m}{r^2}[/tex]

where G is the universal constant of attraction, M the mass of the Sun, m the mass of the plant and r the distance between them

From kinematics we know the expression of the centripetal acceleration

          a = [tex]\frac{v^2}{r}[/tex]

we substitute

         [tex]G \frac{M \ m}{r^2 } = m \frac{v^2}{r}\\G \frac{M}{r} = v^2 \\[/tex]

As we assumed a circular orbit, the velocity of the planet in the orbit is constant, so the kinematic relations of uniform motion can be used.

The distance traveled by the planet is the length of the circle

       d = 2π r

       v = d / T

where T is the period of the orbit

       v = 2π r / T

we substitute

       [tex]G \frac{M}{r} = \frac{4 \pi ^2 r^2 }{t^2}\\T^2 = ( \frac{4 \pi ^2}{G \ M} ) \ r^3[/tex]

The year is the duration of the period of the planet's orbit around the Sun, with the previous expression it is observed that the period (year) increases when the radius of the orbit increases with a power of 1.5, in summary the planets more far away has duration of the greater anus

The constant in parentheses is inversely proportional to the greater of the Sun, that is, for more massive stars the period decreases

The period is in dependent on the mass of the planet, therefore any object at the same distance has the same duration of the period or the year of the planet.

In conclusion we use Kepler's third law to find the correct answer is:

Learn more about Kepler's third law here:

https://brainly.com/question/1819012

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What is the purpose of DNA?

Which example shows an interaction between the urinary system and the circulatory system?

A. a break in a bone
B. the inhalation of air
C. a bee stinging the skin D. the blood flowing to the kidneys

How do you put this in your own words-

This amount depends on the latitude of the area. Latitude is the angular distance in degrees north and south from the equator. Different latitudes receive different amounts of solar energy.

Name two ways adding salt to lower the freezing temperature benefits you.

Which energy source can be used as an energy source that may otherwise be thrown away?
solar
wind
water
biomass
or geothermal?

After you set up a fish tank, you are sure to see algae growing in it. There is plenty of light, fertilizer in the form of fish droppings, and plants or glass for algae to cling to. You may see green strings of algae in the water or green spots growing on the glass. Your whole aquarium can turn green if you don’t stop the algae. To prevent the problem, you can add algae-eating fish or microorganisms to the water. Covering the aquarium for a few days will also kill algae, which need photosynthesis to survive.

Multi-celled algae grow into larger organisms through cell division. For one-celled algae, the purpose of cell division is

Which of the gases below is found at high levels near the surface of the ocean due to plant photosynthesis?
A.
nitrogen
B.
neon
C.
oxygen
D.
carbon dioxide

Bicarbonate is a solution present in human blood. Bicarbonate helps to maintain our bodies pH and resists pH change. Bicarbonate is an example of a(n) ______________________.


Indicator

Buffer

Acid

How will you know if a chemical change has occurred when the reactants are combined? Use evidence and scientific reasoning to support your answer.

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Heat Transfer Lab

The following represents a lab set up for heat transfer. The cup on the left started with boiling water at 100 degrees C and the cup on the right has water at 20 degrees C. There is an aluminum bar between the two cups allowing heat to transfer from one cup into the other. The set up will be left alone for 20 minutes and temperatures of each cup of water will be recorded every minute for 20 minutes.

Draw a molecule and yeah that's basically it

I need help! :)
-"When a sedimentary rock changes shape under heat and pressure,but does not melt completely,it becomes which of the following?

A:Igneous
B:Magma
C:Metamorphic
D:Volcanic ​

Can pure substances made from compounds be physically separated?

how does the respiratory system aid the digestive system


a. the lungs take in oxygen to aid in food digestion

b.the lungs take in carbon dioxide to aid in food digestion

c. the expand the diaphragm, which helps to push the stomach during digestion

d. the lungs contract the diaphragm, which helps to push the stomach during digestion

PLEASE HELP ASAP ! :)

To find S, the number of shared

electrons, recall that

S = N-A

What is S for silicon

tetrachloride, SiCl4?

Describe the structural and compositional layers of Earth.

Which statement refers to convection?


Sunlight travels through space without the aid of fluids or solids.


Land and ocean absorb and re-emit heat from the sun.


Some of this energy is reflected off Earth's atmosphere.


Warm air rises and takes heat with it; eventually it cools and sinks.

The diagram below represents the rock cycle.

The diagram shows 3 rectangular boxes labeled Igneous rock, metamorphic rock, and sedimentary rock and 2 ovals labeled Magma and Sediment. There are 9 arrows. One arrow points from igneous rock to magma, one arrow points from igneous rock to metamorphic rock, one arrow points from igneous rock to sediment, one arrow points from magma to igneous rock, one arrow points from metamorphic rock to magma, one arrow points from metamorphic rock to sediment, one arrow points from sedimentary rock to metamorphic rock, one arrow points from sedimentary rock to sediment, and one rock points from sediment to sedimentary rock and is labeled A.

Which process is represented by the label A?

Compaction and cementation
Deposition and transportation
Heat and pressure
Weathering and erosion

Brass is an alloy of copper and zinc. Bronze is an alloy of copper and tin. Alloys are commonly used in manufactured items because the properties of these metal mixtures are often superior to a pure metal.

PLS HELP MY TEACHER IS MAKING ME DO THIS TODAY IF U ANSWER CORRECTLY I WILL HIVE BRAINLY
Glyptodon is a giant, armadillo-like animal that once lived on Earth and weighed over 2000 kilograms (kg) and lived almost exclusively in warm, wet coastal regions. In many ways it resembled the 4 kg armadillo that lives today. From the information given, what is the probable reason Glyptodon is not alive today?

A. Predators hunted the animal for food to the point of extinction.
B.The animal could not adapt to environmental changes.
C.The animal ate too much food.
D. The Glyptodon had genetic variation.

Another science question because i dont know it so i need more help

instruction
ACTIVO
Describing the Energy on a Slide
CE
A
Each sentence describes potential and kinetic energy
at various locations on a slide. Complete each
statement by selecting the position of the object on the
slide.
An object at position vhas all kinetic energy
An object at position has all potential energy
An object at position has about half potential energy
and half kinetic energy,
B
С
Intro
Done

cells are made up mainly of proteins and carbohydrates how do these molecules function in the cell membrane
pls i need it!!

ANSWER ALL 4 OF THEM!!!

What elements make up brass alloys?

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Jerome is learning how the model of the atom has changed over time as new evidence was gathered. He has images of four models of the atom, but they are not in the correct order.

In what order should Jerome put these models to show the development from the earliest model of the atom to the most recent one?

Y, X, Z, W
Y, Z, W, X
W, Z, X, Y
W, Y, Z, X

Dont answer if you dont know What is a difference between complete metamorphosis and incomplete metamorphosis?


Complete metamorphosis has 3 stages and incomplete metamorphosis has 4 stages.


Only complete metamorphosis has the nymph stage.


Complete metamorphosis has a larva and pupa stage.


Only insects that undergo complete metamorphosis can fly.