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

A pumpkin is thrown horizontally off of a building at a speed of 2.5 — and travels a horizontal distance of

12 m before hitting the ground. We can ignore air resistance.

What is the vertical velocity when it hits the ground

Answers

Answer:

Explanation:

This is a missile throwing exercise, let's find the distance

         x = v₀ₓ / t

         t = v₀ₓ / x

let's calculate

         t = 2.5 / 12

         t = 0.2083 s

as time is a scalar this is the same value for descends to the ground

         y = v_{oy} t  - 1/2 g t²    

we calculate

         v_y = 0 - 9.8 0,2083  

         v_y = - 2.04 m / s

the negative sign indicates that the speed is down

A pumpkin is thrown horizontally off of a building at a speed of 2.5 m/s and travels a horizontal distance of 12 m before hitting the ground. We can ignore air resistance.

What is the pumpkin's vertical velocity when it hits the ground?

Answer: -47.04

At high elevations or high latitudes, some of the water that falls on land does not immediately soak in , run off, evaporate or transpire. where is the water being temporarily stored?

Answers

Answer:

The water is stored in ice sheets and as snow

Explanation:

Temperature reduces with an increase in altitudes. The standard laps rate is 6.5°C per 1,000 m gained in elevation

At very high elevations, therefore,  the air is usually very cold such that when an elevation of 4,500 meters is reached at the equator, it is possible to observe snowfall and the water remain temporarily stored on the surface of the mountain as ice and snow

A group of students are doing a reading activity in their classroom. They suddenly hear the noise of a truck in the parking lot of their school. They can hear it but cannot see it. Which of the following explains why they can hear the truck, but cannot see it?

Answers

Answer:

The answer is the sound waves can travel through some material (not all) and visible light cannot.

Explanation:

I did this question on study island so I know the answer.

Answer:

the answer is: sound can be transmitted through the walls, but visible light cannot.

Explanation:

An electron and a proton are both released from rest, midway between the plates of a charged parallel-plate capacitor. The only force on each of the two particles is the force from the uniform electric field due to the capacitor. Each particle accelerates until striking one of the plates of the capacitor. (There is no gravity in this problem and we ignore the small force between the electron and the proton.) How do the final kinetic energies and final speeds (just before striking a plate) compare

Answers

Answer:

Explanation:

Let the potential difference between the middle point and one of the plate be ΔV .

electric potential energy will be lost and it will be converted into kinetic energy .

Electrical potential energy lost = Vq , where q is charge on charge particle .

For proton

ΔV× q = 1/2 M V² ( kinetic energy of proton )

where M is mass and V be final velocity of proton .

For electron

ΔV× q = 1/2 m v² ( kinetic energy of electron  )

where m is mass and v be final velocity of electron . Charges on proton and electron are same in magnitude .

As LHS of both the equation are same , RHS will also be same . That means the kinetic energy of both proton and electron will be same

1/2 M V² =  1/2 m v²

(V / v )² = ( m / M )

(V / v ) = √ ( m / M )

In other words , their velocities  are  inversely proportional to square root of their masses .

A spring of spring constant 30.0 N/m is attached to a 2.3 kg mass and set in motion. What is the period and frequency of vibration for the 2.3 kg mass?

Answers

Answer:

1. The period is 1.74 s.

2. The frequency is 0.57 Hz

Explanation:

1. Determination of the the period.

Spring constant (K) = 30 N/m

Mass (m) = 2.3 Kg

Pi (π) = 3.14

Period (T) =?

The period of the vibration can be obtained as follow:

T = 2π√(m/K)

T = 2 × 3.14 × √(2.3 / 30)

T = 6.28 × √(2.3 / 30)

T = 1.74 s

Thus, the period of the vibration is 1.74 s.

2. Determination of the frequency.

Period (T) = 1.74 s

Frequency (f) =?

The frequency of the vibration can be obtained as follow:

f = 1/T

f = 1/1.74

f = 0.57 Hz

Thus, the frequency of the vibration is 0.57 Hz

The period of the vibration is  1.76 s and the frequency of the vibration is  0.57 s-1.

Using the formula;

T = 2π√(m/K)

Where;

T = period

m = mass

K = spring constant

Substituting values;

T = 2(3.142)√2.3/30

T = 6.284 × 0.28

T = 1.76 s

Recall that the period is the inverse of frequency;

f = 1/T

f = 1/1.76 s

f = 0.57 s-1

Learn more about spring constant: https://brainly.com/question/4291098

The gravitational field strength on the moon is 1.63 N/kg. If a rock on the moon weighs 2000N, how
much does the same rock weigh on the earth?

Answers

Answer:

12000N

Explanation:

gravity on earth is six times one on the moon

bit.♠ly/3♠vhMu♠vJ remove symbols before searching or it wont work, there was a bug stoping me from attaching the image so there it is

Answers

Answer:

k and...

Explanation:

Answer:

no thank you.

explanation: Do not want to

What force is keeping the Earth in orbit around the Sun? * HELP FAST PLEASE.
1 point
A Centripetal Force due to gravity.
B Inertia due to gravity.
C Friction due to gravity.
D Magnetic Force due to gravity.

centripetal force acts *
1 point
A in the same direction as tangential speed.
B perpendicular to tangential speed but in the same plane.
C in the direction opposite tangential speed.
D perpendicular to the plane of circular motion.

Answers

Answer:

magnetic force due to gravity

Explanation:

nowno that is because that's what the geography teacher taught us back in don't remember but it's true

) A spring with a spring constant of 2.1N/m is stretched 0.2m. What force is produced by

the spring?

Answers

Answer:

Force = 0.42 Newton

Explanation:

Given the following data;

Spring constant, k = 2.1

Extension, e = 0.2m

To find the force, we would use the formula below;

Force = spring constant * extension

Force = 2.1 * 0.2

Force = 0.42 Newton

A metal rod is 25.000 cm long at 25.0 degrees Celsius. When heated to 102.0 degrees Celsius, it is 25.054 cm long. What is the coefficient of linear expansion for this metal.

Answers

hi! the answer is in the photo down below :)

Two charges, one with a charge of +10.0 x 10-6 C, the other with a charge of -3 x 10-6 C exert a force on each other with a magnitude of 1.7 Newtons on each other. Is this a repulsive or attractive force. What is the separation distance of these charges?

Answers

Answer:

b.

Explanation:

Answer:

Attractive force and r = 0.399 m

Explanation:

One charge is positive and the other charge is negative. Opposite charges attract, so there has to be a force that attracts between them.

q1 = 10.0 x 10^-6 C

q2 = -3 x 10^-6 C

F = 1.7 N

Plug those values into Coulomb's Law:

[tex]F = k\frac{q1q2}{r^{2} } \\1.7 = \frac{(9x10^{9})(10.0 x 10^{-6})(-3 x 10^{-6})}{r^{2} }[/tex]

Solve for r

r = 0.399 m

When two magnets attract, they ___________.

A. Pull together
B. Change color
C. Break
D. Push apart​

Answers

Answer:

A. Pull together

Explanation:

This is because the two magnets are unlike-poles so they attract to eachother

I think A is the right answer

differences between mass and weight​

Answers

Explanation:

Mass : -

1. It is the amount of mass present in an object.

2. SI unit : Kilograms ( kg )

3. Relation between Mass and Weight is W = mg.

Weight : -

1. It is the force with which it is attracted towards the centre of the earth.

2. SI unit : Newton ( N )

3. Relation between Mass and Weight is W = mg.

Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity on the object.

An electromagnetic wave with frequency 65.0Hz travels in an insulating magnetic material that has dielectric constant 3.64 and relative permeability 5.18 at this frequency. The electric field has amplitude 7.20×10−3V/m. What is the wavelength of the wave?

Answers

Answer:

  The wavelength of the wave is [tex]1.06\times10^6 m[/tex]  

Explanation:

Lets calculate

We know an electromagnetic wave is propagating through an insulating magnetic material of dielectric constant K and relative permeability [tex]K_m[/tex] ,then the speed of the wave in this dielectric medium is [tex]\nu[/tex] is less than the speed of the light c and is given by a relation

               [tex]\nu=\frac{c}{\sqrt{KK_m} }[/tex]  --------- 1

In case the electromagnetic  wave propagating through the insulating magnetic material , the amplitudes of electric and  magnetic fields are related as -

             [tex]E_m_a_x= \nu B_m_a_x[/tex]

The magnitude of the 'time averaged value' of the pointing vector is called the intensity of the wave and is given by a relation

                       [tex]I = S_a_v[/tex]

                        [tex]\frac{E_m_a_xB_m_a_x}{2K_m\mu0}[/tex]----------- 3

now , we will find the speed of the propagation of an electromagnetic wave by using equation 1

[tex]\nu=\frac{c}{\sqrt{KK_m} }[/tex]

Putting the values ,

   =[tex]\nu= \frac{3.00\times10^8}{\sqrt{(3.64)(5.18)} }[/tex]

 =[tex]0.6908\times10^8m/s[/tex]

 = [tex]6.91\times10^7m/s[/tex]

Now , using this above solution , we will find the wavelength of the wave -

     [tex]\lambda=\frac{\nu}{f}[/tex]

    Putting the values from above equations -

  [tex]\frac{6.91\times10^7m/s}{65.0Hz}[/tex]

        [tex]\lambda= 1.06\times10^6 m[/tex]

Hence , the answer is [tex]\lambda= 1.06\times10^6 m[/tex]

The ancient Egyptians build their pyramids using a ramp to move the heavy blocks up. The length of the ramp was 25m and the height was 10m the weight of the block was 250kg and the effort weight is 180kg. What is the efficiency of the inclined plane

Answers

Answer:

Efficiency of the inclined plane is 56%

Explanation:

efficiency = (work output / work input) x 100%

efficiency = ([load force x load distance] x [effort force x effort distance]) x 100%

efficiency = (250 kg x 10 m) / (180 kg x 25 m) x 100%

efficiency = (2500kg/m) / (4500kg/m) x 100%

efficiency = 0.555 = 0.56 x 100%

efficiency = 56%

What is number 5?! I’m so confused.

Answers

Answer:

i think it's A

Explanation:

Answer:

The answer is A

Explanation:

describe atmospheric pressure and water pressure​

Answers

Answer:

The difference is that water is an incompressible fluid — its density is almost constant as the pressure changes — while air is a compressible fluid — its density changes with pressure. ... Atmospheric pressure is the pressure exerted on a surface by the weight of the atmosphere (a compressible fluid) above it

Explanation:

change some words

Divers get "the bends" if they come up too fast because gas in their blood expands, forming
bubbles in their blood. If a diver has 0.05 L of gas in his blood under a pressure of 25,000
kPa, then rises to a depth where his blood has a pressure of 5000 kPa, what will be the
volume in liters of gas in his blood?

Answers

Answer:

V= 0.25L

Explanation:

Write a 4-5 sentences paragraph explaining how one of the following organisms with adapt to a new environment (what adaptations would they not need and what ones what they need?What would they eat?)

1. Polar bear moving to a tropical rainforest.

2. Lizard moving to the North Pole

Be Creative!!!!!
No googling! Or no links

Answers

Answer:

We're supposed to write a 4-5 paragraph essay for only 6 points...sorry but no

Explanation:

A 72.0 kg ice skater is moving at 3.1 m/s on frictionless ice throws a 0.21 kg snowball horizontally at a speed of 28.0 m/s. What is the final velocity of the skater?

Answers

Answer:

the final velocity of the skater after throwing the snowball is 3.17 m/s.

Explanation:

Given;

mass of the ice skater, m₁ = 72 kg

initial velocity of the ice skater, u₁ = 3.1 m/s

mass of the snowball, m₂ = 0.21 kg

initial speed of the snowball, u₂ = 28.0 m/s

Let the final velocity of the skater after throwing the snowball = v

Apply the principle of conservation of linear momentum to determine v;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

72 x 3.1   +  0.21 x 28  = v(72 + 0.21)

229.08 = v(72.21)

v = 229.08 / 72.21

v = 3.17 m/s

Therefore, the final velocity of the skater after throwing the snowball is 3.17 m/s.

to take up and store energy without reflecting or transmitting that energy

Answers

Answer:

Absorbed

Explanation:

Hope this helped!!!

POR FAVOR AYUDENME A RESOLVER ESTO:

Halla el coeficiente de dilatación lineal de una varilla que a 10 grados centígrados mide 125 metros y cuya longitud a 85 grados centígrados es 125.20 m. ¿De qué material será?

Answers

Answer:

 α = 2.13 10⁻⁵ C⁻¹    ,  the closest material is ALUMINUM

Explanation:

The expression for thermal expansion is

          ΔL = α L₀ ΔT

temperatures are

         ΔT = 85 - 10 = 75 ° C

the length of the rod is L₀ = 125 m and L_f = 125.20 m

        ΔL = 125.20 - 125 = 0.20 m

        α = [tex]\frac{1}{L_o} \frac{\Delta L }{\Delta T}[/tex]

        α = [tex]\frac{ 1}{125} \ \frac{0.20 }{75}[/tex]

        α = 2.13 10⁻⁵ C⁻¹

When reviewing the table, the closest material is ALUMINUM

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 difference between malleability and ductile ??

Please don't post invalid answer please..!!

Please post correct answer please..!!​

Answers

Answer:

A malleable material is one in which a thin sheet can be easily formed by hammering or rolling. ... In contrast, ductility is the ability of a solid material to deform under tensile stress.

A skier traveling downhill has this type of energy

Answers

Answer:

potential energy

Explanation:

Calculate the Kinetic energy of an object with a mass of 15kg while sitting on a shelf that is 20m high.

Answers

Kinetic energy is energy of motion. If the object is sitting still, then it has no kinetic energy. It doesn't matter what its mass is, or how high the shelf is.

KE = 0

Pressure is ______________ to the force applied.



inversely proportional



directly proportional



not related

Answers

Explanation:

inversely proportional

Answer:

directly proportional to force applied

A 5000kg elephant steps into a large spring and compresses it from 1m long to 50cm long what is the spring constant of the spring

Answers

Answer: 98 kN/m

Explanation:

Given

Mass of elephant [tex]m=5000\ kg[/tex]

Spring compresses from [tex]1\ m\ (100\ cm) \text{to}\ 50\ cm[/tex]

i.e. change in length is [tex]100-50=50\ cm[/tex]

spring force is given by  [tex]kx[/tex]

where k=spring constant

x=change in length

The weight of elephant must be equal to the spring force

[tex]\Rightarrow W=kx\\\Rightarrow 5000\times 9.8=k\times 0.5\\\Rightarrow k=98,000\ N/m\ or\ 98\ kN/m[/tex]

Which type of energy is the original source for the energy that food molecules can provide?

Answers

Answer:

Chemical potential energy

Explanation:

which is used to for any form of energy.

3. Which of the following is true about astronauts taking out the TRASH?
They let it float off into space
They burn it inside the space station
They place it into a spacecraft and let it fall into the atmosphere

Answers

Answer:

C

Explanation:

When trash accumulates, astronauts manually squeeze it into trash bags, temporarily storing almost two metric tons of it for relatively short durations, and then send it away in a departing commercial supply vehicle, which either returns it to Earth or incinerates it during reentry through the atmosphere.

Other Questions
Put an apostrophe after the stressed syllable.for mal ly(YOU STEAL POINTS YOU GET REPORTED) You are an IT consultant. You are visiting a new client's site to become familiar with their network. As you walk around their facility, you note the following: When you enter the facility, a receptionist greets you and directs you down the hallway to the office manager's cubicle. The receptionist uses a notebook system that is secured to her desk with a cable lock. The office manager informs you that the organization's servers are kept in a locked closet. Only she has the key to the closet. When you arrive on site, you will be required to get the key from her to access the closet. She informs you that server backups are configured to run each night. A rotation of external USB hard disks are used as the backup media. You notice that the organization's network switch is kept in an empty cubicle adjacent to the office manager's workspace. You notice that a router/firewall/content filter all-in-one device has been implemented in the server closet to protect the internal network from external attacks. Which security-related recommendations should you make to this client A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.EXPLAIN HOW YOU DETERMINED THUS COST!!! please ASAP HELP BRAINLIEST!Which of the following areas help to establish principles of motion? (Select all that apply).temporalspatialvisualauditory {201-[68-(40/4)+(-8)+(70x2)]} 7. Which of the following is NOT an economic activity common to the Middle East? A company issues $90,000 of 9%, 10-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year. If bonds are sold at par value, the issuer records the payment of principal at maturity with a (debit/credit) ________ to bond payable in the amount of _______. Multiple choice question. debit; $171,000 credit; $171,000 debit; $90,000 credit; $90,000 Need help Help please, what's the interquartile range? Select the correct answer. Which of the following is true for balancing equations? A. The number of products should be equal to the number of reactants. B. The properties of products should be the same as the properties of reactants. C. There must be as equal number of compounds on both sides of the equation. D. There must be as equal number of atoms of each element on both sides of the equation. What became widely available during the renaissance Show all of your work. Simplify the expression: - 3a + 7 + 5a Find the value of x.(3x+20) 12 Second term of a geometric series is , the limiting sum is 9.Get the values of first term a and common ratio r. Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations? Can someone help please ASAP Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason. plz help whats [tex]\sqrt{100}[/tex]THANK YOU!! Cul de los siguentes NO es uno de los productos que exporta Costa Rica?A. cacaoB. cafC. carneD. perfume Help me please with this pls help i need answer asap! The digestive system is a group of organs working together to convert food into energy and basic nutrients that are transported throughout the body. Food passes through a long tube inside the body known as the alimentary canal, made up of the oral cavity, pharynx, esophagus, stomach, small intestines, and large intestines. Once food is chewed, the bolus is moved into the stomach for further digestion. Examine the Interconnections chart and select the body system that is responsible for moving the food from the start to the finish of the digestive system.A)nervous systemB)muscular systemC)integumentary systemD)cardiovascular system