What is the gravitational force between two identical 50,000 kg asteroids whose centers of mass are separated by 1000 m?

Answers

Answer 1

Answer:

The gravitational force between the two masses is 1.668575 × 10⁻¹¹ N

Explanation:

The given parameters are;

The mass of the two asteroids having gravitational attraction, are m₁ = m₂ = m = 50,000 kg

The separation distance between their centers, r = 1,000 m

The gravitational attraction force, F, between the two masses is given as follows;

[tex]F =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]

Where;

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

m₁ = m₂ = m

Substituting the values gives;

[tex]F =6.67430 \times 10^{-11} \times \dfrac{50,000 \times 50,000}{1000^{2}} = 1.668575 \times 10^{-7} \ N[/tex]

The gravitational force, F, between the two masses = 1.668575 × 10⁻¹¹ N.

Answer 2

The gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.

Given the data in the question

Since the asteroids are identical

Mass of the asteroids; [tex]m_1 = m_2 = 50000kg[/tex]Distance between the centers of the masses; [tex]r = 1000m[/tex]

Gravitational force; [tex]F =\ ?[/tex]

To determine the gravitational force between two identical asteroids, we use the Newton's law of universal gravitation:

[tex]F = G\frac{m_1m_2}{r^2}[/tex]

Where [tex]m_1[/tex] is mass of object 1, [tex]m_2[/tex] is mass of object 2, r is the distance between centers of the masses and G is the Gravitational constant ( [tex]6.67408 * 10^{-11} m^3/kgs^2[/tex] )

We substitute our values into the equation

[tex]F = (6.67408 * 10^{-11} m^3/kgs^2) \frac{50000kg*50000kg}{(1000m)^2} \\\\F = \frac{0.166852kgm^3/s^2}{1000000m^2}\\\\ F = 1.67 * 10^{-7}kg.m/s^2\\\\F = 1.67 * 10^{-7}N[/tex]

Therefore, the gravitational force between the two identical asteroids is 1.67 × 10⁻⁷ Newton.

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Related Questions

MY PASSWORD IS CHANGE

Answers

Then change it back.

Newton’s third law in own words

Answers

Answer:

imma take a guess

Explanation:

- For every force exerted on an object, that object exerts the equal and opposite amount of force back.

or like

- The force exerted is an action, and there will always be a force back, the reaction, in an equal and opposite amount.

A boy runs with a speed of 3m/s in 5s. How far did the boy run?

Answers

Explanation:

the boy ran 15m 3x5 is 15

Answer:

The answer is 15m

Explanation:

[tex]v = \frac{l}{t} \\ l = vt = 3 \times 5 = 15[/tex]

The properties of materials are defined by the _____________ of the atoms in the compound.

A. All of these
B. Arrangement
C. Type
D. Charge

Answers

B !!! hope it helps .-.

can anyone help me with this

Answers

Answer:

earth is 4.54 billion years old

for an organism to survive they would have to change ( mutate )

A mutation is any permenant change in dna of a gene or chromosome

some mutations are bad and some can be good

Explanation:

La superficie de unas botas suman 400 cm2 y la persona que las usa tiene 45 kg de masa, calcula la presión que ejerce sobre el piso. NOTA: Se debe encontrar la fuerza, para lo cual, se debe obtener el peso utilizando la fórmula de masa por gravedad que es 9.8 m / s2

Answers

Answer:

11025 N / m²

Explanation:

Los siguientes datos se obtuvieron de la pregunta:

Área (A) = 400 cm²

Masa (m) = 45 Kg

Aceleración por gravedad (g) = 9,8 m / s²

Presión (P) =?

A continuación, determinaremos la fuerza aplicada. Esto se puede obtener de la siguiente manera:

Masa (m) = 45 Kg

Aceleración por gravedad (g) = 9,8 m / s²

Fuerza (F) =.?

F = m × g

F = 45 × 9,8

F = 441 N

A continuación, convertiremos 400 cm² a m². Esto se puede obtener de la siguiente manera:

1 cm² = 0,0001 m²

Por lo tanto,

400 cm² = 400 cm² × 0,0001 m² / 1 cm²

400 cm² = 0,04 m²

Por tanto, 400 cm² equivalen a 0,04 m².

Finalmente, determinaremos la presión ejercida de la siguiente manera:

Área (A) = 0.04 m².

Fuerza (F) = 441 N

Presión (P) =?

P = F / A

P = 441 / 0,04

P = 11025 N / m²

Por tanto, la presión ejercida es 11025 M / m²

The mass before a reaction is equal to the mass after a reaction? True or false?

Answers

Answer:

[tex]\boxed {\boxed {\sf True}}[/tex]

Explanation:

The Law of Conservation of Mass states that mass cannot be created or destroyed.

So, in a chemical reaction, the mass before a reaction and after cannot be different. In other words, the mass of the products must be equal to the product of the reactants.

So, this is a true statement.

Which list places the layers of the sun in the correct order from innermost to outermost?

Corona, photosphere, chromosphere
Photosphere, convective zone, radiative zone
Convective zone, chromosphere, corona
Radiative zone, corona, convective zone

Answers

Answer: The answer is A, Corona, Photosphere, Chromoshpere

Explanation:

Just took the test

The Photosphere, Chromosphere, Transition Region, and Corona are the outer layers. Option A is correct.

What are the layer of sun?

Corona, photosphere, chromosphere are the layers of the sun in the correct order from innermost to outermost.

The distance is measured from the sun's core for the inner layers and from the sun's surface for the outer layers. The Core and Convection Zone, are the inner layers.

The Photosphere, Chromosphere, Transition Region, and Corona are the outer layers.

Hence, option A is correct.

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which of the following is a contact force?

a. gravity
b. magnetic force
c. air resistance
d. electrical force

Answers

hope this helps.........

How is the earth changing??? How would you answer this question at this point???

Answers

Scientists have been observing Earth for a long time. They use NASA satellites and other instruments to collect many types of information about Earth's land, atmosphere, ocean and ice. This information tells us that Earth's climate is getting warmer.


Extra:

Extra greenhouse gases in our atmosphere are the main reason that Earth is getting warmer. Greenhouse gases, such as carbon dioxide (CO2) and methane, trap the Sun's heat in Earth's atmosphere.

It's normal for there to be some greenhouse gases in our atmosphere. They help keep Earth warm enough to live on. But too many greenhouse gases can cause too much warming.

The burning of fossil fuels like coal and oil increase the amount of CO2 in our air. This happens because the burning process combines carbon with oxygen in the air to make CO2.

It's important that we monitor CO2 levels, because too much CO2 can cause too much warming on Earth. Several NASA missions have instruments that study CO2 in the atmosphere.


How does a second class lever make our work easier?​

Answers

Sorry, please elaborate? And I’ll try to answer in comments:)

The gas-phase reaction between nitrogen and oxygen was carried out in a device designed to maintain constant pressure. There are two cylinders of equal volume with a reaction arrow between them. The cylinder on the left has two molecules of O 2 and two molecules of N 2. The cylinder on the right has four molecules of N O. A constant pressure is applied to both cylinders Write the balanced chemical equation for the reaction between nitrogen oxygen. Include physical states.

Answers

Answer:

2N₂(g) + 2O₂(g) ----> 2NO(g)

Explanation:

Gaseous nitrogen and gaseous oxygen reacts in a molar volume ratio of 1 : 1 to produce nitrogen (ii) oxide.

In the reaction, two molecules of nitrogen gas combines with two molecules of oxygen gas in the cylinder to form two molecules of nitrogen (ii) oxide. The equation of the reaction is given below:

2N₂(g) + 2O₂(g) ----> 2NO(g)

Nitrogen (ii) oxide is formed naturally during lightning bolts. The heat released the lightning flashes causes the nitrogen and oxygen in air to combine to form nitrogen (ii) oxide. The nitrogen (ii) oxide formed however, quickly reacts with more oxygen to form nitrogen(ii) oxide.

Nitrogen (ii) oxide is a colorless, poisonous gas. It is slightly denser than air and almost insoluble in water. it is also neutral to litmus.

The balanced chemical equation for the reaction between nitrogen and oxygen is:

2N₂(g) + 2O₂(g) —> 4NO(g)

The equation between nitrogen and oxygen can be written as follow:

N₂(g) + O₂(g) —> NO(g)

The above equation can be balance as illustrated below:

There are 2 atoms of O on the left side and 1 atom on the right side. It can be balance by writing 2 before NO as shown below:

N₂(g) + O₂(g) —> 2NO(g)

Multiply the equation by 2, we have:

2N₂(g) + 2O₂(g) —> 4NO(g)

The equation is balanced!

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LITERALLY PLZ HELP I WILL GIVE BRAINLIEST If you had the opportunity to interview an experienced scientist at NASA who has been involved in numerous space explorations, what would you want to know? Identify at least three specific questions that you would ask this scientist and briefly explain why you would ask these particular questions.

Answers

Answer:

What was your sleep situation like during your time in space? Did you get more or fewer hours of sleep than when you were on earth? I would be very interested in learning about their answer because they still have to perform tasks that require energy and obviously they would need to sleep but do they have to strap themselves down on a bed so they don't float away? Is it easy to fall asleep in space or would your body be confused because time is so much different that it doesn't even follow the same time zones as on earth? That is why I find this to be interesting for them to answer.

Did you have any activities to do aside from researching and your tasks that were mandatory? What would they have done in their free time? I can’t imagine simply doing work the whole time, did they get to bring along certain games or time wasters to do while in space? I would just be really curious to find out how they occupied their free time or if they even had free time.

What was the most difficult part about being in space? Was it terrifying or was the work overwhelming? Was it scary thinking about returning to earth or staying in space for too long? There are so many ways to answer this question so I would be very interested in understanding their fears and their reason for being afraid.

Explanation:

newtons second law of physics, solve the chart

Answers

Answer:

(from top to bottom)

350 N, 80 kg, 10 m/s^2, 80 kg, -15 m/s^2, -3000 N

Explanation:

Force = Mass*Acceleration (aka F = ma)

Using algebra, you can find the variables/unknown values.

What is the pigment in the leaves called?
1.Chloroplasts
2.Green
3.Stroma
4.Chlorophyll

Answers

Answer: D: Chloroplasts

Explanation:

Answer: d

Explanation:

an average net force of 31.6 N is used to accelerate a 15.0 kg object uniformly from rest to 10.0 m/s leftward. What is the change in momentum?​

Answers

Answer:

-150 kg m/s

Explanation:

The change of momentum is calculated as ;

Δp= m*Δv where

where

Δp= change in momentum

Δv = vf-vi

m= mass of the object

Change in momentum is also calculated when using the formula;

Δp = F * Δt   when F is the net force applied and Δt is the time of action.

In this case;

m= 15 kg

vf=  -10 m/s

vi= 0 m/s

Taking rightward direction to be positive, then leftward will be negative.

Applying the formula as;

Δp = m*Δv

Δp = 15 * { -10 -0} = 15*-10 = -150 kg m/s

A piece of magnetite used to find directions is called _____

Answers

It's called a "lodestone".

If it's suspended and allowed to turn freely, it behaves like a magnetic compass.

HELLO PLEASE HELPPP!! WILL GIVE BRAINIEST

Answers

Answer: Wavelength

Explanation:

Answer:

C) wavelength

Explanation:

I hope this is right, have a nice day!

In regard to exercise, which of the following statements about safety consideration is correct?
A.
In hot weather, exercising between 10 a.m. and 4 p.m. is best.
B.
Exercising at 100% of your maximum heart rate is best.
C.
Exercising one hour before eating is best.
D.
Remaining well-hydrated while exercising is best

Answers

Answer:

the correct answer is

D.Remaining well-hydrated while exercising is best

Your task now is to look up the effects of the temperature on an equilibrium and how the reaction will shift when adding or removing heat. Explain in no less than 4 complete sentences the effect of the temperature and list at least on example.

Answers

Answer:

If you increase the temperature, the position of equilibrium will move in such a way as to reduce the temperature again. It will do that by favouring the reaction which absorbs heat. In the equilibrium we've just looked at, that will be the back reaction because the forward reaction is exothermic.

Explanation:  

1. A kettle contains 1.5kg of water at a
temperature of 18°C. How much energy is
needed to bring the water to the boil?

Answers

Answer:

water boiling point is usually 100°C so I think we subtract 18 degrees Celsius from 100 degrees Celsius to get 82 degrees Celsius to be the energy needed

As Derrick is driving around town, he stops at a red-light. When the light turns green, he takes off and travels
212m in 6.7 seconds. What is his average acceleration?

Answers

Answer:

31.6

Explanation:

velocity÷ time

212 ÷ 6.7 = 31.6m/s

Define malleability?

Answers

Answer:

Explanation:

the quality or state of being malleable: such as. a : capability of being shaped or extended by hammering, forging, etc. the malleability of tin.

Which of the following objects is in equilibrium?

Answers

Answer:

C) an object that moves at constant velocity.

Explanation:

It is equilibrium because acceleration is just the speed and force at the beginning, while velocity is the overall speed that has remained constant throughout the cycle of the object's movement.

What includes the hippocampus, amygdala and hypothalamus?

Answers

Answer:

the limbic system has its input and processing side (the limbic cortex, amygdala and hippocampus) and an output side (the septal nuclei and hypothalamus).

Explanation:

hope it helps

Answer:

limbic system

Explanation:

The "limbic system" is situated under the cerebrum. It is responsible for the person's emotions and memories. Its primary structures include: hippocampus, amygdala, thalamus and hypothalamus.

The "hippocampus" is responsible for obtaining new memories. It is also associated with mental functions like "learning."

The "amygdala" is responsible for emotional memories.

The "thalamus" and "hypothalamus" are responsible for reactions towards the emotions.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

Answers

Answer:

y = (-1/3)x + 5

Explanation:

the gradient of required equation (m2)

the gradient of given equation (m1) = 3

m1*m2 = -1 ( they are perpendicular)

3*m2 = -1

m2 = -1/3

required equation

y = m2 + c

( 9,2) satisfy the above equation

2 = (-1/3)*9 + c

c = 5

y = (-1/3)x + 5

If a small asteroid named ‘B612’ has a radius of only 20 m and mass of
1 × 104 kg, what is the acceleration due to gravity on its surface?

Answers

Acceleration produced in the motion of a body under the effect of gravity is called acceleration due to gravity.

It is a vector quantity and it's SI unit is m/s².

It is usually denoted by the symbol g.

Formula of Acceleration due to Gravity:

[tex] \boxed{ \bf{g = \dfrac{GM}{r^2}}}[/tex]

G → Universal Gravitational Constant [tex] \sf (6.67 \times 10^{-11} \ Nm^2/kg^2) [/tex]

M → Mass of the Asteroid (1 × 10⁴ kg)

R → Radius of the Asteroid (20 m)

By substituting values in the equation, we get:

[tex] \rm \longrightarrow g = \dfrac{6.67 \times {10}^{ - 11} \times 1 \times {10}^{4} }{20^2} \\ \\ \rm \longrightarrow g = \dfrac{6.67 \times {10}^{ - 11 + 4} }{400} \\ \\ \rm \longrightarrow g = 0.016675 \times {10}^{ - 7} \\ \\ \rm \longrightarrow g = 1.6675 \times {10}^{ -9} \: m {s}^{ - 1} [/tex]

[tex] \therefore [/tex] Acceleration due to gravity on the surface of small asteroid named ‘B612’ = [tex] \sf 1.6675 \times 10^{-9} \ m/s [/tex]

Acceleration produced in the motion of a body under the effect of gravity is called acceleration due to gravity. Acceleration due to gravity on the surface of small asteroid named ‘B612’ = 1.776 * 10 9 m/s2.

What is acceleration due to gravity?

A free-falling item is one that is falling solely as a result of gravity, as was discovered in the previous section of this course. A free-falling object experiences a downward acceleration of 9.8 m/s. (on Earth).

The acceleration of any object moving only as a result of gravity is referred to as the acceleration of gravity.

In fact, this quantity, known as the acceleration of gravity, is so significant to physics that it has its own distinctive symbol, the letter g. The most precise measurement of the gravitational acceleration is 9.8 m/s.

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The velocity of a car doubles over a short period of time. Which additional information is sufficient to determine the amount of acceleration during this time period?

Answers

Answer:

Time and velocity

Explanation:

The time taken for the velocity to double is very important to find the amount of acceleration the car acquires.

Acceleration is the rate of change of velocity with time.

  Acceleration  = [tex]\frac{v -u}{t}[/tex]

v is the initial velocity

u is the final velocity

t is the time taken

 So, the velocity and time is needed to calculate the value of the acceleration the car undergoes.

How does biofuel use differ from solar, wind, and geothermal energy use? a. Biofuels can have a more widespread use. b. Biofuels are less damaging to the environment. c. Biofuels are not a renewable energy source. d. Biofuels cannot be used as an energy source.

Answers

Answer:I think it b

Explanation:

The correct answer is option (a) Biofuels can have a more widespread use.

Biofuel is a fuel that is produced from biological process like anaerobic and agriculture digestion. It can be derived directly from plants, agricultural, commercial, domestic and agricultural waste. It has a more widespread use as compared to solar, wind and geothermal energy. Uses of biofuel.

It can be used as an alternative dieselIt can be used for power generation in backup systems when emission is most importantBioheat can be generated from biofuel It can be used to clean oil spills and grease It can be used as a lubricant It can be used as a fuel in stove for cooking It can be used to remove paint and adhesives

Hope this helped

What is the average translational KE of 5 moles of gas molecules at 300 K?

a.
2.1 x 103 J

b.
1.87 x 104 J

c.
1.78 x 105 J

d.
1.68 x 106 J


Answers

Answer:

What is the average translational kinetic energy of molecules in an ideal gas at 37°C? The average translational energy of a molecule is given by the equipartition theorem as, E = 3kT 2 where k is the Boltzmann constant and T is the absolute temperature.

Explanation:

The average translational energy of a molecule is given by the equipartition theorem as, E = 3kT 2 where k is the Boltzmann constant and T is the absolute temperature.

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