The mean orbital radius of the earth around the sun 1.5 × 108 km. Calculate the

mass of the sun if G = 6.67 × 10-11 Nm2/kg -2?​

Answers

Answer 1

Answer:

M = 1.994 × 10^(30) kg

Explanation:

We are given;

Orbital radius; r = 1.5 × 10^(8) km = 1.5 × 10^(11) m

Gravitational constant; G = 6.67 × 10^(-11) N.m²/kg²

If the orbit is circular, the it means the gravitational force is equal to the centripetal force.

Thus; F_g = F_c

GMm/r² = mv²/r

Simplifying gives;

GM/r = v²

M = v²r/G

Now, v is the speed of the earth around the sun and from online sources it has a value of around 29.78 km/s = 29780 m/s

Thus;

M = (29780^(2) × 1.5 × 10^(11))/6.67 × 10^(-11)

M = 1.994 × 10^(30) kg


Related Questions

Question
If you are tracking the energy in a system, but the total energy seems to be going down, where has the energy gone ?

Answers

Energy has dissipated into heat

26. A solid wheel accelerates at 3.25 rad/s2 when a
force of 4.5 N exerts a torque on it. If the wheel
is replaced by a wheel which has all of its mass
on the rim, the moment of inertia is given by
1 = mr? What force should be exerted on the
strap to give the same angular velocity?

Answers

Answer:

9.0 N

Explanation:

The location of the mass of the wheel on the wheel = Evenly distributed

The acceleration of the solid wheel, α = 3.25 rad/s²

The applied force on the wheel = 4.5 N

The location mass of the replacement wheel = All on (around) the rim

The moment of inertia of the new wheel, I = m·r² (From an online source)

We have;

The moment of inertia for a solid wheel = 1/2·m·r²

The torque, τ = Moment of inertia, I × Acceleration, α

For the solid wheel, we have;

τ  = 1/2·m·r² × 3.25 rad/s²

τ = r × F = r × m × a

For the replacement wheel, we have;

τ  = m·r² × 3.25 rad/s² = 2 × 1/2·m·r² × 3.25 rad/s²

∴ τ = 2 × r × F

Given that the radius remains the same, the force applied on the replacement wheel needs to be doubled

The force that should be exerted on the strap to give the same angular velocity, F' = 2 × F

The required force, F' = 2 × 4.5 N = 9.0 N.

Conclusion: Suggest an equation relating Felect, q1, q2 and d of the form Felect = k•... where k is a proportionality constant (no need to determine its value). Place the three variables q1, q2 and d on the right side of the equation in a numerator or a denominator; use a power if needed. Your equation should be consistent with your claims made in Challenge #1 and Challenge #2. *I already solved the rest of the worksheet, I only need the conclusion.*

Answers

Answer:

[tex]F_{elect} = \frac{kq_1q_2}{d^2}[/tex]

Explanation:

Consider the given variables:

Felect = Electrostatic Force between charged particles

k = Coulomb's Constant

q₁ = magnitude of first charge

q₂ = magnitude of second charge

d = distance between the charges

The relationship among these variables is given by the Coulomb's Law:

[tex]F_{elect} = \frac{kq_1q_2}{d^2}[/tex]

This is the relationship that contains k, q₁, q₂, d on the right-hand side and Felect on the left-hand side.

Use the drop-down menus to complete the statements. Outlook allows users to insert symbols and characters not located on the , but they can have shortcut keys. Inserting horizontal lines in the message body breaks up different sections and mostly benefits people using Outlook on .

Answers

Answer:

Keyboard and Mobile devices

Explanation:

got it right on edge 2021

Answer:

Outlook allows users to insert symbols and characters not located on the  

keyboard

, but they can have shortcut keys.  

Inserting horizontal lines in the message body breaks up different sections and mostly benefits people using Outlook on  

mobile devices

.

Explanation:

If you move the north pole of a permanent magnet toward the surface of an aluminum pot, a current will flow through that pot and the pot will become magnetic, repelling your permanent magnet. If you stop the permanent magnet just before it touches the pot and then hold the permanent magnet stationary, the repulsive force between the pot and the permanent magnet will gradually disappear. The repulsive force disappears because the electric current in the pot a) becomes non-magnetic once the permanent magnet stops moving. b) stops increasing and becomes steady once the permanent magnet stops moving. c) becomes an alternating current once the permanent magnet stops moving and the pot’s magnetic poles then flip back and forth rapidly. d) stops flowing

Answers

Answer:

the correct one is d  

Explanation:

Let's analyze the situation before reviewing the answers.

When the magnet moves towards the pot, an electromotive force is induced by Faraday's law

         fem =  [tex]- \frac{d \Phi_B }{dt}[/tex] - dfi / dt

         [tex]\Phi_B[/tex] = B . A

In the pot, because it is metallic, a current is created and it is in the opposite direction to the variation of magnetic flux.

By stopping the magnet the flux becomes constant and therefore its derivative is zero, therefore there is no electromotive force and consequently no current.

When reviewing the answers, the correct one is d

hi:):):):):):):):):):):):):):):):):):):):):):):):)

Answers

Answer:

hi. :)))))))))))))))))))))

select three parts of a circular saw

spindle

trigger

base

handle

key

chuck

Answers

Answer:

handle, trigger, spindle

What is the speed of a 200-kilogram car that is driving with 2000 joules of kinetic energy? (SHOW ALL WORK)

Answers

Answer:

v ≈ 4.47

Explanation:

The Formula needed = KE = [tex]\frac{1}{2}[/tex] m v²

Substitute with numbers known:

2000J = [tex]\frac{1}{2}[/tex] × 200kg × v²

Simplify:

÷100       ÷100      (Divide by 100 on both sides)

2000J = 100 × v²

[tex]\frac{2000J}{100}[/tex] =  v²

20 = v²

√         √             (Square root on both sides)

√20 = √v²

4.472135955 = v (Round to whatever the question asks)

v ≈ 4.47       (I rounded to 2 decimal places or 3 significant figures, as that is what it usually is)

Is there gravitational force between two students sitting in a classroom?
If so, explain why you don't observe any effects of this force.

Answers

Answer:

Yes.

Explanation: the magnitude of the force is extremely small because the masses of the students are small relative to Earth's mass.

The gravitational force between two students sitting in classroom exists but its effect are not visible because the distance between these students is very very very small.

We have two students sitting in a classroom.

We have to investigate whether or not there is gravitational force between these two students.

State Newtons law of Gravitation.

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically -

[tex]$F=\frac{GMm}{r^{2} }[/tex]

According to the question, we have - Two students sitting in a classroom.

Take a close look and you will identify that the distance between any two students in classroom is very small. Gravitational force is also the weakest force since the value of Universal gravitation constant (G) = 6.674 x [tex]10^{-11}[/tex] [tex]m^{3}kg^{-1}s^{-2}[/tex] is very small. Moreover, the force of gravitation is inversely proportional to square of distance between two bodies -

[tex]$F \alpha \frac{1}{r^{2} }[/tex]

This will make the gravitational force even more weak. This is the main reason why you don't observe any effects of this force. The gravitational force exists between any two bodies that have mass and energy, but its magnitude might depend upon other factors to.

Hence, the gravitational force between two students sitting in classroom exists but its effect are not visible because the distance between these students is very very very small.

To learn more about Gravitational force, visit the link below -

https://brainly.com/question/12528243

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  do batteries produce or make energy

Answers

Batteries Produce energy

Answer:

Batteries are intended to store chemical energy and then it converts into electricidal energy. So overall, batteries produce energy.

Explanation:

Plz Helpp

A vehicle has a Kinetic Energy of 75000 J and is moving at a velocity of 5 m/s. What is the mass of the vehicle?​

Answers

300

could i get brainiest

Use these words to talk about water vapor in the atmosphere.Humidity, Dew
point, Clouds, Condense, Water Cycle
TRIES​

Answers

Answer: Water vapors are the gaseous form of water when liquid water is exposed to heat or boiling temperature it vaporizes.

Explanation:

Humidity is the total concentration of water in the atmosphere or air. Dew point can be defined as the temperature at which the air get saturated into vapors. Clouds are the mass of water vapors enters into higher atmosphere due to evaporation these water vapors when condense they result in precipitation in the form of rain, hail, and others. The water cycle is the circulation of water in the form of vapors and liquid in the atmosphere, hydrosphere, and earth.

What is the full meaning of ROYGBIV?​

Answers

Answer:

Red, orange, yellow, green, blue, indigo and violet.

Explanation:

Hope I helped! cute copy and paste ☏ ♡ ☆⋆◦★◦⋆°*•°

. * . . ° . ● ° .

¸ . ★ ° :. . • ° . * :. ☆

° :. ° .☆ . ● .° °★

★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *

¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆

☆ °☆ . * ● ¸ . ★¸ .

. * . . ° . ● ° .

° :. ° . ☆ . . • . ● .° °★ Not sure how to copy and paste? Just right click your mouse and choose copy in options, to release repeat the process and just paste it. No mouse? Select the text with your computer pad and use ctrl c to release, ctrl v. On mobile? Press on your screen and select the text, use the option copy and paste wherever you would like!

⭐ Hii ⭐

➡️ Abbreviation for shades of colors often described as creating rainbows: red, orange, yellow, green, blue, indigo, and violet. Its beginning is sometimes called VIBGYOR in reverse order.

Byy...

1) Do waves transport energy or matter?

Answers

They transfer energy

Which of the following types of energy is not associated with a car engine?
A. Kinetic
B. Heat
C. Sound
D. Light

Answers

Answer:

D

Explanation:

Does not assosicate with Light

Is this right. Please help me ITS SOCIOLOGY

Answers

Answer:

Yes

Explanation:

sorry if im wrong

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Answers

Answer:

maximum horizontal distance = 10m

initial vertical velocity of the ball = 4.9m/s

Explanation:

Complete question

A ball is launched with an initial horizontal velocity of 10.0 meters per second. It takes 500 milliseconds for the ball to reach its maximum height.

Determine the maximum horizontal distance that the ball will travel.

Calculate the initial vertical velocity of the ball.

Maximum horizontal distance x is expressed as;

x = vT

T is total time of flight

T = 2t

Hence x = 2vt

v is the velocity

t is the time

Given

v = 10.0m/s

time t = 500ms = 0.5s

Horizontal distance = 2 * 10 * 0.5

Horizontal distance = 20 * 0.5

Horizontal distance = 10m

Hence the maximum horizontal distance that the ball will travel is 10m

To get the initial horizontal distance, we will use the equation of motion

v = u - gt

T maximum height, v = 0

Substitute

0 = u - 9.8(0.5)

-u = - 4.9

u = 4.9m/s

Hence the  initial vertical velocity of the ball is 4.9m/s

If riding a lawnmower engine exerts 19 hp in one minute to move the lawnmower how much work is done

Answers

Answer:

the work done by the lawnmower is 236.14 J.

Explanation:

Given;

power exerted by the lawnmower engine, P = 19 hp

time in which the power was exerted, t = 1 minute = 60 s.

1 hp = 745.7 watts

The work done by the lawnmower is calculated as follows;

[tex]Work = Energy = \frac{Power}{time} \\\\Work = \frac{(19 \times 745.7)}{60} = 236.14 \ J[/tex]

Therefore, the work done by the lawnmower is 236.14 J.

how can isotopes of a given element be identified?​

Answers

Answer: All isotopes of a given element have the same number of protons but different numbers of neutrons in each atom. ... Each atomic number identifies a specific element, but not the isotope; an atom of a given element may have a wide range in its number of neutrons.

Explanation: Hopefully this helps. Have a great day.

A meteorite is DIFFERENT from a comet mainly because it
A) has a tail of ice and dust.
B) enters the Earth’s atmosphere.
C) has a nucleus made of snow and rock.
Eliminate
D) is found in orbit between Mars and Jupiter.

Answers

B) enter the Earths atmosphere

Determine the separation distance between two balloons with charges of +3.6*10^-8 C and -3.2*10^-8 C. They generate an electrical force of -2.2*10^-2 between them.

Answers

Answer:

0.0217 m

Explanation:

Ftom the question,

Applying Coulomb's law

F = kqq'/r²............... Equation 1

Where F = Electric Force, q and q' = First and second charge respectively, r = distance between the charges, k = coulomb's constant.

make r the subeject of the equation

r = √[(kqq')/F]............. Equation 2

Given: q = +3.6×10⁻⁸ C, q' = -3.2×10⁻⁸ C, F = -2.2×10⁻² N

Constant: k = 8.98×10⁹ Nm²/C²

Substitute these values into equation

r = √(+3.6×10⁻⁸×-3.2×10⁻⁸×8.98×10⁹/-2.2×10⁻²)

r = √(-103.4489×10⁻⁷/-2.2×10⁻²)

r = √(47.02×10⁻⁵)

r = 21.68×10⁻³

r ≈ 21.7×10⁻³ m.

r ≈ 0.0217 m

Hence the seperation between the two balloons is 0.0217 m

True or False: The northern & southern lights are caused by solar wind particles interacting with gases in our atmosphere.

Answers

Answer:

False.

Explanation:

An aurora is a natural electric phenomenon that creates bright and colorful light displays in the sky. These dramatic and colorful lights are created when electrically charged particles from solar winds enter the Earth's atmosphere and interact with gases in the atmosphere.

Two 10.-ohm resistors have an equivalent resistance of 5.0 ohms when connected in an electric circuit with a source of potential difference. Using circuit symbols found below, draw a diagram of this
circuit.

Answers

The resistors are connected in parallel between the terminals of a battery.

Note: If those resistors are connected in parallel, then their equivalent resistance is already 5 ohms, even if they're still in the drawer or in a box on the shelf. They don't have to be connected to a source of voltage for that to happen.

Metal sphere A has a charge of -2 units and an identical sphere B has a charge of -4 units. If the spheres are brought into contact with each other and then separted the charge on sphere b will be

Answers

Answer:

 q1 = q₂=  -3

therefore each sphere has the same charge of -3 untis

Explanation:

The metallic spheres have mobile charge, so when the two spheres come into contact the total charge

           Q_total = q₁ + q₂

           Q_total = -2 -4

   

          Q_total = -6 units

it is distributed in between the two spheres evenly since the charges of the same sign repel each other.

When the spheres separate each one has

            q₁ = -6/2

            q1 = q₂=  -3

therefore each sphere has the same charge of -3 untis

What is meant by uniform motion ? Write with an example.

Answers

Answer:

This type of motion is defined as the motion of an object in which the object travels in a straight line and its velocity remains constant along that line as it covers equal distances in equal intervals of time, irrespective of the duration of the time.

Explanation:

In Physics, uniform motion is defined as the motion, wherein the velocity of the body travelling in a straight line remains the same. When the distance travelled by a moving thing, is same at several time intervals, regardless of the time length, the motion is said to be uniform motion.

Describe the parts of a hurricane and the hazards of a Category 3 Hurricane.

Answers

A category three hurricane are major ones that can cause incredible damage like blowing off roofs, cause power outages, uproot trees, lead old buildings to fall, etc. The parts of a hurricane are the eye, storm surge, eyewall, rain bands, and outflow.

In context of nepal it is better to use energy like solar power .why?

Answers

Answer:

Nepal is one of the least developed countries. Solar power is well-founded than electricity. It's better to use solar power because it's a clean resource, the sun provides more energy than we will ever need.

Explanation:

मारवतन गनुहास (What Is MKS Syste
Convert 5 solar days into second.)​

Answers

Answer:

5 Days to Seconds = 432000

Explanation:

If the efficiency and mechanical advantage of a certain machine are given as 65 % and 3 respectively.What is the velocity ratio of the machine?
a.3.5 %
b.4.6 %
c.7.9 %
d.11.2 %

Answers

Answer:

b. 4.6 %

Explanation:

From the question,

E = M.A/V.R................ Equation 1

Where E = percentage Efficiency of the machine, M.A = machanical accurancy of the machine, V.R = Velocity ratio of the machine

Make V.R the subject of the equation

V.R = M.A/E

Given: M.A = 3, E = 65% = 0.65

Substitute this values into equation 2

V.R = 3/0.65

V.R = 4.6

Hence the right option is b. 4.6 $

~ is the following statement true or false? Explain your answer.
“Energy from the sun tends to affect only a small part of Earth's system."

Answers

Answer: False

Explanation: The sun is one of earths primary energy sources. Without the sun, all animals, plants, humans would die. The sun's energy provides warmth for humans and plants and animals cannot grow without the sun.

The statement "Energy from the sun tends to affect only a small part of Earth's system" is false.

What energy comes from the sun to Earth?

The sun emits several forms of energy, including visible light, ultraviolet radiation, infrared radiation, and X-rays. Of these, visible light is the most abundant form of energy that reaches the Earth's surface.

The visible light from the sun provides the energy that drives the Earth's climate and weather patterns, powers photosynthesis in plants and algae, and is responsible for the colors we see in the world around us.

In addition to visible light, the sun also emits ultraviolet (UV) radiation. Some of this UV radiation is absorbed by the Earth's atmosphere, which helps to protect us from its harmful effects, but some of it reaches the Earth's surface and can cause skin damage and other health problems.

The sun also emits infrared radiation, which is responsible for heating the Earth's surface and atmosphere. This heat is important for the Earth's climate and weather patterns and is also used to generate electricity in solar power plants. The energy from the sun is essential for life on Earth and has a major impact on virtually every aspect of the Earth's system.

Here in the Question,

Energy from the sun has a major impact on the entire Earth system, from the atmosphere to the oceans to the land surface. The energy from the sun drives the Earth's climate and weather patterns, it powers the hydrologic cycle and drives ocean currents, and it provides the energy for photosynthesis, which is the basis of the Earth's food chain.

The energy from the sun that reaches the Earth's surface is also responsible for many physical and chemical processes that occur in the Earth's crust and upper mantle. For example, the energy from the sun powers the movement of tectonic plates, which leads to earthquakes, volcanic eruptions, and the formation of mountains.

The energy from the sun affects virtually every aspect of the Earth's system, from the smallest microorganisms to the largest geological features.

Therefore, the statement "Energy from the sun tends to affect only a small part of Earth's system" is false.

To learn about the heliocentric model of the Solar System click:

https://brainly.com/question/12075871

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