Two planets are separated by a distance of 4.5x108 m. One of the planets has a mass of 2.1x1021 kg. The force of attraction between the planets is 5x1024 N. What is the mass of the other planet? (Be careful with your algebra!)

Answers

Answer 1

Answer:

The mass of the other planet is 7.23*10^(30) kg

Explanation:

For two objects of masses m₁ and m₂ respectively, separated by a distance r, the gravitational force between them is given by:

F = G*(m₁*m₂)/r^2

Where G = 6.67*10^(-11) m^3/(kg*s^2)

Here, we know that:

r = 4.5*10^8m

m₁ = 2.1*10^21 kg

F = 5*10^24 N

And we want to find the mass of the other planet, first, let's isolate m₂ in the force equation:

(F*r^2)/(G*m₁) = m₂

Now we can replace all the values that we know in the left side, and solve it:

m₂ =[(5*10^24 N)*( 4.5*10^8m)^2]/[6.67*10^(-11) m^3/(kg*s^2)*2.1*10^21 kg]

m₂ = 7.23*10^(30) kg

The mass of the other planet is 7.23*10^(30) kg


Related Questions

A car moving at 41.35 m/s hits a brick wall and stops in 0.140 s. What is the
acceleration of the car?

Answers

Answer:

Acceleration, a = 295.36 m/s²

Explanation:

Given the following data;

Final velocity = 41.35 m/s

Initial velocity = 0 m/s

Time = 0.140 seconds

To find the acceleration, we would use the first equation of motion;

V = U + at

Where;

V is the final velocity.

U is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Substituting into the equation, we have;

41.35 = 0 + a*0.140

41.35 - 0 = 0.140a

41.35 = 0.140a

Acceleration, a = 41.35/0.140

Acceleration, a = 295.36 m/s²

How does the temperature of a planet determine the states of matter you would observe on that planet?

Answers

Explanation:

the temperature will determine the kinetic energy or degree of freedom of the molecules of matter.

if the temperature is high, the kinetic energy of the molecules increase which may cause a change of state into a gas which has molecules of high kinetic energy. this shows that temperature is a measure of the kinetic energy of the molecules.

A race car sits on the starting line on a racetrack. when the race starts, the car's tires exert a force on the track. According to newton's third law of motion, what causes the car to accelerate forward?
A. the track surface exerts a force that is larger and in the same direction as the force exerted by th tires.
B. a normal force that is equal in a magnitude to gravity pushes up on the car
C. the force of friction between the car tires and the track pulls the car forward
D. the track exerts a force that is equal and in the opposite direction as the force exerted by the tires

Answers

Answer:

D. the track exerts a force that is equal and in the opposite direction as the force exerted by the tires

Explanation:

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This speaks of equality in magnitude of force applied but in an opposite direction to one another.

According to this reaction, a car's tires exert a force on the track, this means that in accordance to Newton's third law, the track must exert an equal but opposite force on the car's tires. This causes the car to accelerate forward.

How many valence electrons does each atom of arsenic (As) have? Arsenic is element 33. It is in period 4 and family 15 (5A or the Nitrogen family).

(1 point)

15


33


5


4

Answers

Answer:5

Explanation:

The hair dryer has a plastic case so there is no need for an earth wire connection in the plug ,explain why the hair dryer is still safe to use.

Answers

Answer:

plastics are unable to conduct electricity and heat due to there being no free flowing electrons, meaning they are safe to use.

Explanation:

is iron and copper brittle​

Answers

Answer:

no

Explanation:

they are metal and there property is strong and hard

physics as a subject involves measurement and estimation,giving examples of everyday life situations, explain the meaning and what is done in each case​

Answers

Answer:

57

Explanation:

Help quick
How does the ramp produce mechanical advantage?
A it reduces the amount of input force needed to do a certain amount of work
B it reduces the distance over which the input force needs to be applied
C it reduces the amount of useful work done on objects move it up the ramp
D what is the overall amount of work done on object moving up the ram

Answers

C it reduces the amount of useful work done on objects move it up the ramp

28 Why is soft iron used for the core of an electromagnet?

А Soft iron easily becomes a permanent magnet.
B Soft iron is a good electrical conductor.
с Soft iron is a poor thermal conductor.
D Soft iron loses its magnetism when the current in the coil is switched off.​

Answers

Answer:

An electromagnet is a form of magnet that is made by the passage of electric current through a coil of wire. The core of an electromagnet increases the strength of the produced magnetic field

Soft iron is used as the core of an electromagnet because soft iron is a magnetic material and therefore it is permeable to and becomes magnetized by the magnetic field coming from the flowing current, thereby allowing more flux to pass through the core of the electromagnet, producing a magnetic field strength that is several times that of an air core electromagnet as the relative permeability (to magnetic flux, compared to vacuum) of soft iron is about 64 × 10³

However, once the current is switched, the soft iron does not remain its magnetic, and therefore, the electromagnet becomes demagnetized, thereby being able to maintain its electromagnetic characteristics (being made magnetic by the flow of electric current)

Explanation:

a ball was changed vertically upwards with kinetic energy 200 joule what will be the total energy and Midway​

Answers

Answer:

Part 1; The total energy = Constant = 200 J

Part 2; Midway, the potential energy = The kinetic energy = 100 J

Explanation:

Part 1

According to the first law of thermodynamics, energy is neither created nor destroyed but changed from one form to another

The total (mechanical) energy = Potential energy + Kinetic energy = Constant

The kinetic energy given to the ball changed vertically up = 200 J

Potential energy = Mass, m × Gravity, g × Height, h

Given that the mass m of the ball and the acceleration due to gravity, g, remain the same, we have;

Potential energy ∝ The height of the ball

The potential energy at ground level = 0 J (Height , h = 0)

∴ The total (mechanical) energy = 0 J + 200 J = 200 J

At the maximum height, the ball momentarily stops, and the kinetic energy = 0 J

Therefore;

The potential energy of the ball at the maximum height, [tex]h_{max}[/tex], [tex]P.E._{max}[/tex] = 200 J

∴  [tex]P.E._{max}[/tex] = m·g·[tex]h_{max}[/tex] = 200 J

Part 2

At midway we have, the height, h = ([tex]h_{max}[/tex])/2

Therefore, [tex]P.E._{Midway}[/tex] = (m·g·([tex]h_{max}[/tex]))/2 = ([tex]P.E._{max}[/tex])/2 = (200 J)/2 = 100 J

The potential energy midway = 100 J

The  remaining 200 J - 100 J = 100 J is the kinetic energy remaining in the ball

The kinetic energy midway = 100 J

Therefore, the total energy midway = 100 J + 100 J = 200 J

1.slope of distance time graph gives______in the case of uniform motion.

2.The magnitude of velocity and______will be equal if motion is along a straight path.

Answers

the first one answer is speed and the second one is direction.

Answer:

1. Slope of distance time graph gives Speed in the case of uniform motion

2.The magnitude of velocity and Displacement will be equal if motion is along a straight path

Explanation:

PLEASE MARK BRAINLEST

Which class of lever has all advantages of lever

Answers

Answer:

Helo ....

so this answer would be First class levers

becoz...

First-class levers have a considerable practical advantage over the other types of levers. They convert a downward moving force into a lifting force

is it possible to mark it brainliest <3

What is the purpose of the lab the importance of the topic and the question you are trying to answer?

Answers

perpose of lab is to store apparatus and do some experiment

Helps someone to know the exert lengh of something

Which choice shows the correct sequence of features formed by continued wave erosion?

Answers

Answer:

Wave-cut cliff, sea arch, sea stacks

Explanation:

The effect of a wave erosion is made obvious by the structures formed by the wave action.

The high areas of land adjacent to the incoming wave develop the early features or the formation of wave action, which includes the wave-cut cliff

The continuous undercutting of the cliff by the wave results in the formation of the wave cut platform

The effect of the wave further on a cliff, results in the formation of a sea arch and finally a sea stack

Therefore, the correct sequence is the wave-cut cliff, sea arch, sea stacks

How Do Manometers Work? steps by steps

Answers

Explanation:

A manometer is a device that measures air pressure using a container with a "U"-shaped tube open at one or both ends. In a closed manometer, a sample of gas is introduced into one end, which is then capped. ... This pressure represents the positive or negative difference between the gas pressure and atmospheric pressure

Answer:

I hope this helps

In the manometer, one end connects to a gas-tight seal to test the pressure source.

2. In addition, the other end of the tube is left open to the atmosphere and it will be subjected to the pressure of approximately 1 atmosphere (atm).

3. Besides, the test pressure is greater than the pressure of 1 atm (atmosphere) the liquid in the column will be forced down by the pressure.

4. Furthermore, it will cause the liquid of the reference column to rise by an equal amount.

Please help! Will mark Brainliest.

Answers

Answer:

18 Nm

Explanation:

if the correct answer


If Bulb B burns
out, what happens?
A Bulb A and C will stay lit.

Answers

Answer: C

Explanation:

Since bulb B is burnt out, the wires can't transfer to bulb A, so that's why bulb A will burn out.

If I get it wrong, sorry. Im still learning.

In which instrument of the following the water works as a bulb

Answers

Answer:

hydrometer

Explanation:

A hydrometer is an instrument used to determine specific gravity. It operates based on the Archimedes principle that a solid body displaces its own weight within a liquid in which it floats. Hydrometers can be divided into two general classes: liquids heavier than water and liquids lighter than water.

a car moves at a speed of 40km/h. it is stopped by applying brake which produce a uniform acceleration of-0.5m/s^2. how much distance will it move before coming to stop ? plz its urgent

Answers

Answer:

Explanation:

I answered this in question #24313516

Define measurement and write its importance.​

Answers

Answer:

Measurement is the way humans define certain amounts of matter, and is expressed in various types of units respective to the type of matter or object being defined.

Explanation:

Measurement is extremely important because it helps one another understand how much of something is needed to accomplish something. If no method existed to define the specific amount needed, we would simply mess delicate operations up and machines, even simple recipes, would fail.

The question is given in the picture below.... please help me and mention all the steps..​

Answers

Answer:

a)water is turning into ice it is changing it's state from liquid to solid

b)B to C  ice is melting and it  is changing  it's state from solid to liquid

C to D water is boiling and it is changing it's state from liquid to vapours(steam)

c) temperature

At A 0

At B 0

At C 100

At D 100

Explanation: The temperature will remain 0 degrees Celsius until all the ice becomes water and the temperature will remain 100 degrees Celsius until all the  water changes into steam.

The image shows a landform created by Earth’s forces.

A dip in a mountain range between two plates.

Which describes this landform?

anticline
shearing
syncline
tension

Answers

The term that best describes the landform "dip in a mountain range" is C. Syncline.

Syncline is a term to refer to a fold of the Earth's crust caused by the tectonic effects of the earth's dynamics. A synclinal fold is characterized by being a concave fold, that is, in the shape of a U.

According to the above, answers A, B and D are not correct options because they refer to different shapes of the Earth. Therefore, the landform shown is syncline.

Learn more at: https://brainly.com/question/17137827

Answer: C

Explanation: E2022

How do longshore currents shape the land?

Answers

Longshore drift has a very powerful influence on the shape and composition of the coastline. It changes the slopes of beaches and creates long, narrow shoals of land called spits, that extend out from shore. Longshore drift may also create or destroy entire “barrier islands” along a shoreline.

Answer:

Longshore drift has a very powerful influence on the shape and composition of the coastline. It changes the slopes of beaches and creates long, narrow shoals of land called spits, that extend out from shore. Longshore drift may also create or destroy entire “barrier islands” along a shoreline.

SHOW REFRACTION THROUGH A GLASS SLATE WITH NEAT DIAGRAM
[tex] \: \: \: \: \: \: \: \: \: \: \: I \: need \: answer \: [/tex]

Answers

Refer to the attachment

An observer measures a 100 Hz Doppler shift as an ambulance goes by. At rest, the frequency of the ambulance's siren is 2,000 Hz. What is the speed of the ambulance?

Answers

The change in the frequency of the sound, due to the relative motion of the source of sound and the observer, is determined by the Doppler's Effect.

The speed of the ambulance (source) is "6517 m/s"

The equation of Doppler's Effect is given as follows:

[tex]f_o = \frac{v+v_o}{v+v_s}f_s[/tex]

where,

[tex]f_o\\[/tex] = frequency of sound measure by observer  = 100 Hz

v = speed of sound = 343 m/s

[tex]v_o[/tex] = speed of observer = 0 m/s

[tex]v_s[/tex] = speed of ambulance (source) = ?

[tex]f_s[/tex] = actual frequency = 2000 Hz

Therefore, using the values, we get:

[tex]100\ Hz = \frac{343\ m/s + 0\ m/s}{343\ m/s + v_s}(2000\ Hz)\\\\(100\ Hz)(343\ m/s + v_s) = (343\ m/s)(2000\ Hz)\\\\v_s = \frac{686000\ Hz.m/s - 34300\ Hz.m/s}{100\ Hz}[/tex]

v_s = 6517 m/s

Learn more about Doppler's Effect here:

https://brainly.com/question/1330077?referrer=searchResults

In isoelectric focusing gel electrophoresis a. there is a pH gradient that parallels the electric field gradient b. particular care must be taken to ensure the same pH along the length of the gel c. the electric current is allowed to fluctuate d. the electric circuits of the apparatus must be very well insulated

Answers

Answer:

a. there is a pH gradient that parallels the electric field gradient.

Explanation:

Gel electrophoresis is a technique used to separate DNA fragments according to their size. DNA samples are loaded in the wells and then electric current is applied to pull the DNA fragments out from the gel. Isoelectric gel electrophoresis is a process in which negatively charged DNA fragments are separated from the gel.

A 210 Ohm resistor uses 9.28 W of
power. How much current flows
through the resistor?
(Unit = A)

Answers

Resistance=R=210OhmPower=9.28W=P

Current=I

[tex]\boxed{\sf P=I^2R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{P}{R}[/tex]

[tex]\\ \sf\longmapsto I^2=\dfrac{9.28}{210}[/tex]

[tex]\\ \sf\longmapsto I^2\approx0.04[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{0.04}[/tex]

[tex]\\ \sf\longmapsto I\approx\sqrt{\dfrac{4}{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{\sqrt{4}}{\sqrt{100}}[/tex]

[tex]\\ \sf\longmapsto I\approx\dfrac{2}{10}[/tex]

[tex]\\ \sf\longmapsto I\approx0.2A[/tex]

How much power does it take to lift a box with a weight of 50N to put it on a shelf that is 10m high in
10 sec?

Answers

Force=50NDisplacement=10mTime=10s

We know

[tex]\boxed{\sf Power=\dfrac{Work\:done}{Time}}[/tex]

[tex]\\ \sf\longmapsto Power=\dfrac{Force\times displacement}{Time}[/tex]

[tex]\\ \sf\longmapsto Power=\dfrac{50\times 10}{10}[/tex]

[tex]\\ \sf\longmapsto Power=\dfrac{500}{10}[/tex]

[tex]\\ \sf\longmapsto Power=50W[/tex]


Can someone help me please this test is very important

Answers

Answer:

Friction is caused in roller coasters by the rubbing of the car wheels on the track and by the rubbing of air (and sometimes water!) against the cars.

Explanation:

Mass of the sun is 2x10³⁰ kg and that of the earth is 6/10²⁴ kg and the distance between them is 1.5 x 10¹¹m. What is the gravitational force produced between them? ​

Answers

Answer:

The gravitational force is 3.56 × 10^22 N

Explanation:

[tex]{ \bf{force = \frac{GM_{s} m _{e}}{ {r}^{2} } }}[/tex]

[tex]{ \sf{force = \frac{6.67 \times {10}^{ - 11} \times (2 \times {10}^{30} ) \times (6\times {10}^{24}) }{(1.5 \times {10}^{11}) {}^{2} } }} \\ \\ { \sf{force = 3.56 \times {10}^{22} \: newtons}}[/tex]

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