Your spaceship lands on an unknown planet. To determine the characteristics of this planet, you drop a wrench from 3.50 m above the ground and measure that it hits the ground 0.809 s later.
Assuming that the planet has the same density as that of earth (5500 kg/m3), what is the radius of the planet?

Answers

Answer 1

Explanation:

By the formula,

[tex]s=ut+\frac12at^2[/tex]

[tex]-3.5=0+\frac12a(0.809)^2[/tex]

[tex]a=-10.659 ms^{-2}[/tex]

where a is the acceleration of objects by gravity.

We also know that by the Law of Gravitation,

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

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

The mass of the planet is given by

[tex]M=\rho V=\rho(\frac 43\pi r^3)[/tex]

So

[tex]a=-\frac{G(\rho\frac 43\pi R^3)}{r^2}= - \frac{(6.67 \times 10^{-11})(5500)(\frac43)\pi R^3}{(R+3.5)^2} = -10.659[/tex]

Since R>>3.5, so we approximate

[tex](R+3.5)^2\approx R^2[/tex]

Solving the last equation,

[tex]R=6936.483 km[/tex]


Related Questions

K-12 After homework


Which of the following statements is NOT true?


All materials eventually stop bouncing.



Some balls will bounce longer than others depending on the material they are made of.



The lower the drop height of a ball, the higher the ball will bounce.



The higher the drop height of a ball, the higher the ball will bounce

Answers

The lower the ball the higher the bounce is false

A boy with a mass of 45 kg runs towards a stationary trolley with a total mass of 30 kg. The boy then jumps on the trolley and the trolley starts to move.
a) Explain why the trolley starts to
move after the boy jumps on it.
b) Calculate the magnitude of the
velocity of the trolley after the boy jumps on it.

anyone here cold helps me to solve and explain the answer... thanks in advance

Answers

Answer:

The trolley moves because a force of exertion is pushed onto it when the boy launches himself onto it. It also moves in a direction, so velocity is applied to it.

The velocity goes from stand-still to something. Also, to find velocity, I think acceleration and time are 2 constants that are needed to find velocity, which is not present in the question.

Sorry if this is not the answer you wanted.. I just gave a basic guess as to what I think the answer is. I just started to learn physics.

Explanation:

what is annual average inflation​

Answers

Source: https://www.statista.com/statistics/244983/projected-inflation-rate-in-the-united-states/

why is it important for heat sinks to be made of metal and have a large surface area?

Answers

The heat sink has a thermal conductor that carries heat away from the CPU into fins that provide a large surface area for the heat to dissipate throughout the rest of the computer, thus cooling both the heat sink and processor…

Explain the term majority and minority carriers of a material with respect to the acceptor and donor impurity.​

Answers

Answer:

carriers and so are called majority carriers. A few thermally generated electrons will also exist in the p side; these are termed minority carriers. On the n side the electrons are the majority carriers, while the holes are the minority carriers. Near the junction is a region having no free-charge…

Answer:

The majority charge carriers carry most of the electric charge or electric current in the semiconductor. Hence, majority charge carriers are mainly responsible for electric current flow in the semiconductor. The charge carriers that are present in small quantity are called minority

If a point has 40 J of energy and the electric potential is 8 V, what must be the charge?
OA.50
B. 320 C
O c. 40 c
OD. 8C
Reset Selection

Answers

If a point has 40 J of energy and the electric potential is 8 V, the charge must be: A. 5 C

Given the following the details;

Energy = 40 JoulesElectric potential = 8 Volts

To find the quantity of charge;

Mathematically, the quantity of charge with respect to electric potential is given by the formula;

[tex]Quantity \; of \; charge = \frac{Energy}{Electric \; potential}[/tex]

Substituting the values into the formula, we have;

[tex]Quantity \; of \; charge = \frac{40}{8}[/tex]

Quantity of charge = 5 Coulombs

Therefore, the quantity of charge must be 5 Coulombs.

Find more information: https://brainly.com/question/21808222

Energy=E=40JPotential difference=V=8VCharge=Q

[tex]\boxed{\sf E=QV}[/tex]

[tex]\\ \rm\longmapsto Q=\dfrac{E}{V}[/tex]

[tex]\\ \rm\longmapsto Q=\dfrac{40}{8}[/tex]

[tex]\\ \rm\longmapsto Q=5C[/tex]

Hence total charge must be 5C.

Note:-

SI unit of charge is Coulomb (C)

A positively charged glass rod is bought close to a suspended metal needle. What
can we say about the charge on the needle given that the needle is
a) attracted ?
b) repelled ?

Answers

Answer:

attracted

Explanation:

opposite charges attract each other when the rub against each other

Answer:

This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).

which type of bonds can carbon atoms form with other carbon Atoms

Answers

Explanation:

A carbon atom can form covalent bonds with other carbon atoms

When a piece of metal mass of 72.17 g is
dropped into a graduated cylinder containing
20.92 mL of water, the water level rises to
26.64 mL. What is the density of the metal?
Answer in units of g/cm3
.

Answers

Answer:

Explanation:

The trick is in finding the volume.

Final Volume = 26.64

Initial Volume=20.92                   Subtract

Metal Volume  5.72  cm^3

Density = mass / volume

Density = 72.17 / 5.72

Density = 12.617

the weight of a girl is 400N .the area of each shoe with which she is standing is 40cm square . calculate the pressure exerted by her both feet?​

Answers

Answer:

P=2*[tex]10^{5}[/tex]Pa

Explanation:

P=P1+P2

P1=[tex]\frac{F}{A}[/tex]

Putting the values

P1=[tex]\frac{400}{40*10^{-4} }[/tex]

P1=1*[tex]10^{5}[/tex]

It is the pressure exerted by 1 feet

Pressure exerted by 2nd feet is also equal to the pressure exerted by 1st feet then

P2=1*[tex]10^{5}[/tex]

P=P1+P2

P=(1*[tex]10^{5}[/tex])+(1*[tex]10^{5}[/tex])

P=200000Pa

P=2*[tex]10^{5}[/tex] Pa

Which describes a difference between solar wind and a geomagnetic storm? Select the three correct answers. (2 points)
Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind.
Geomagnetic storms travel at the speed of light, while solar wind takes four days to reach Earth.
Geomagnetic storms occur only occasionally, solar wind is constant.
Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun
Geomagnetic storms are constant, solar wind occurs only occasionally.

Answers

We have that the three correct answers are

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above."Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional."Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

We First define the two Phenomenons

Solar Winds

These are Particles such as Plasma and other Harmful particles Dispersed by the sun of the a galaxy that can be harmful to Humans.

Geomagnetic storm

A Geometric storm is a kind of storm that comes about because of the an attack of the solar wind on earths magnetic field above atmosphere.

Therefore

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above.

"Geomagnetic storms travel at the speed of light, while solar wind takes four days to reach Earth." This is false as Geometric storms are the Phenomenons that emanate on earth.

"Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional.

"Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

"Geomagnetic storms are constant, solar wind occurs only occasionally."This statement is False as Stated in the definitions above

In conclusion

The three correct answers are

"Solar wind sometimes results in geomagnetic storms, geomagnetic storms do not cause solar wind" is a correct statement from the definition above."Geomagnetic storms occur only occasionally, solar wind is constant."This statement is correct as the sun emission of solar wind particles are constant but Geomagnetic storms are occasional."Geomagnetic storms are associated with CMEs, solar wind is associated with the constant activity in the sun" This statement is correct as CMEs(  Coronal Mass Ejections) are sometimes the main reason for  Geomagnetic storms

For more information on this visit

https://brainly.com/question/22162046

If A finishes a work in less time than B,who has more power explain why​

Answers

As power is directly proportional to work done and inversely proportional to time taken, A is said to have more power than B as he completed the work in less time than B.

what change occurs to the gravitational force of attraction between two bodies when the distance between them is made half 1 by 2 by keeping masses constant​

Answers

Explanation:

Since the gravitational force is inversely proportional to the square of distance, changing the distance to half the original results in 4 times the original force

What is term for the group of phenomena that includes, melting, boiling, freezing, and condensation?


Phase Change

Seasonal Change

State Change

Time Change​

Answers

the answer is phase change.

What is crowbar? Class 8

Answers

Answer:

Crowbar is a tool made of metal rods that are flattened at both ends, with one of them curved. There is also a crowbar that is curved at both ends.

hope it helped

Do black holes really exist?

Answers

Yes, black holes 100% exist. They suck everything in their paths through a process known as spaghettification.

Which two particles are present in the nucleus of an atom? Electrons and neutrons Electrons and molecules 1 TH O Protons and neutrons O Protons and electrons​

Answers

Answer:

Protons and neutrons

Explanation:

Aristotle said that if you dropped a large object and a smaller object that the larger
object would hit the ground first.
We now know that that is___
not true.
true

Answers

Answer: not true

Explanation: mass < weight

Question 3 A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five seconds after he passes her car, she starts following after him. What is the shortest possible distance in which she will catch up to the cyclist if he maintains hrs speep and she obeys the speed limit of 70 km/hr? The car has a maximum acceleration

Answers

The shortest possible distance in which she catches up with the man is 129.7 m.

The given parameters:

speed of the man, v₁ = 40 km/hr

speed of the woman, v₂ = 70 km/hr

time when the woman started moving, t₁ = 5 seconds

To find:

the shortest distance when she catches up with the man

Convert the given speed in km/h to m/s

3.6 km/h = 1 m/s40 km/h = 40/3.6 = 11.11 m/s70 km/h = 70/3.6 = 19.44 m/s

Calculate the distance moved by the man before she started following him.

Distance moved by the man = speed x time

                                                = 11.11 m/s  x  5 s

                                                = 55.55 m

Let the time the woman catches up with the man = t

Apply the following simple principle to calculate the time.

The man is moving forward and the woman is moving forward to close the gap between them, thus both speeds are working against each other.

[tex](v_2-v_1)t = 55.55 \ m[/tex]

the difference in the speed is because they are working against each other.

[tex](19.44 - 11.11)t = 55.55\\\\8.33t = 55.55\\\\t = \frac{55.55}{8.33} \\\\t = 6.67 \ s[/tex]

The time when the woman catches up with the man = 6.67 s

The shortest distance at which the woman catches up with the man is calculated as;

Shortest distance = woman's speed x time when she catches up

                               = 19.44 m/s    x  6.67 s

                               = 129.7 m

Thus, the shortest possible distance in which she catches up with the man is 129.7 m.

Learn more here: https://brainly.in/question/9541933?tbs_match=3

which is a symbol that represents SI units for temperature?

A. °C
B. g
C. L
D. °F​

Answers

Answer:

A. °C

Explanation:

[tex]{ \sf{degree \: celcius}}[/tex]

Answer:

Symbol k represent SI UNITS

Explanation:

value of g is independent of

Answers

the lord of the greeks answer d

Answer:

mass

Explanation:

The value of g (acceleration due to gravitation) is independent of the mass of the object.

identify and explain the importance of any five sources of radiation used in the health sector​

Answers

We have that Radiations in there own different ways affect the health sector, the identified sources of radiation are

X-ray gamma raySunUraniumStrontium-90Radioactive potassium-40

Generally the sources of radiation selected to be discussed are

X-ray gamma raySunUraniumStrontium-90Radioactive potassium-40

Potassium-40

This is an internal Radio active element that is found in the human body.It is found in the food we eat because of a Natural Radioactivity that acts on every food as Potassium-40 gives rise to some activity in the food we eat.

X-ray (gamma ray)

X ray is use diversely in the health sector but I will focus its use in the Radioactive scan of the body with the aim to discover what is wrong with a patient or to know if the is anything wrong with a patient

Uranium

This is a source of radiation but one to be abstained from as its possess kidney damaging properties and should be wary of for health purposes

Sun

The Sun is a major source of Radiation and its Health benefits of uses are numerous as exposure to it helps to provide vitamin D for deficient patients strengthens bones and many more

Strontium-90

This is a particle produce beta particles,these particles are use  in the Health sector to cure cancer related to the Bones and Eyes

What kind of energy involves the flow of charged particles?

Answers

Answer:

Electrical energy is answer

Explanation:

hope it helps

Mark me as brainliest plz.

Answer:

c

Explanation:

it is the Answer


Who among the old Greek Philosophers/Scientists was the first to systematically study the
Stars?

Answers

Previous Answer:

Aristotle

Change:

Aristarchus

Answer:

Aristarchus of Samos was the first Greek philosopher to believe the solar system was organized around the Sun, rather than the Earth. The heliocentric was very unpopular during Aristarchus' lifetime, although it would inspire astronomers centuries later. Ptolemy was an astronomer and mathematician.

Please help me find the magnitude and direction of the resultant force​

Answers

1.41 is the magnitude and -45° is the direction

A:10i - 2j -4k and B: i +7j - k. Determine |A-B| ​

Answers

A - B = (10i - 2j - 4k) - (i + 7j - k)

A - B = 9i - 9j - 3k

|A - B| = √(9² + (-9)² + (-3)²) = √189 = 3√19

Jo, Daniel and Helen are pulling a metal ring. Jo pulls with a force of 100N in one direction and Daniel with a force of 140N in the opposite direction. If the ring does not move, what force does Helen exert if she pulls the same direction as jo? ​

Answers

Answer:

she is pulling with 40 N force

Explanation:

The ring does not move means that the forces are equal.

Let's call Jo's force x

We have the quation

140 = x + 100

x = 40

A rabbit has a mass of 2kg. What is its weight

Answers

Answer:

the weight should be around that main 20kg

if your average speed is 3 m/s, how far have you traveled in 1 second, 2 second, 3 seconds?

Answers

Answer:

in 1 second 3m, in 2 seconds 6m, in 3 seconds 9m.

Explanation:

distance=speed × time

1 second: 3 miles, 2 seconds: 6 miles 3 seconds: 9 miles

What is the field outside the capacitor plates in a parallel capacitor?​

Answers

Answer is zero

Plz mark me brainlist

Explanation:

Outside two infinite parallel plates with opposite charge the electric field is zero, and that can be proved with Gauss's law using any possible Gaussian surface imaginable

Other Questions
What is the value of x in the equation 3x - 4 (2x - 5) = 15 Is (8, 2) a solution to the equation y = 2? Guys I need to make a project on what makes music American, it needs to be 3 minuets long can anyone help? It's for band class, I'll give the brainliest to whoever helps first According to the graph the acceleration of the object is ?A) Constant B) decreasing C) increasing D) zero what is your favorite icecream flavor i need some life in me again. 11) Dan worked 7 3/4 hours on Saturday and 6 2/3 hours on Sunday. He earns$15 3/4 per hour. How much did he make that weekend? Simplify image below 20 POINTS! A RETRIEVED REFORMATION What happens to Jimmy Valentine in Elmore? mag bigay ng mga pangungusap namay panipi at kuwit Fill in the blank with some/any/no/much/many/a lot ofwilliam played video games but we did not win ___ simplify the expression (1.5 10^-6) (4 10^9) from the number 0,1,2,3,4,5 a. how many 2-digit number can be made if repetition is not allowed b. how many 4-digit number less than three thousand can be made if repetition is allowed c. how many 4 digits numbers greater than 4000 can be made if repetition is not allowed PLEASE ANSWER!!!!!!! 80 POINTSWhich statement describes the properties of lanthanoids and actinoids?(1 point)A. They are malleable and lustrous, and they tend to conduct both electricity and thermal energy.B. They are brittle and dull, and they tend to conduct both electricity and thermal energy.C. They are brittle and dull, and they tend to be poor conductors of both electricity and thermal energy.D. They are malleable and lustrous, and they tend to be poor conductors of both electricity and thermal energy. Peter has a bag of marbles. In the bag are 4 white marbles, 2 blue marbles, and 6 green marbles. Peter randomly draws one marble, sets it aside, and then randomly draws another marble. What is the approximate probability of Peter drawing out two green marbles Plz help answer this question when data is collected and turned into information, it is called (d) How does hard-work help a business make progress? 6. It's vital to consider your life choices and to avoid_____. which can jeopardize yourhealth and impact your overall fitness plan.O risky behaviorO an injuryO fast foodO ill-fitting shoes helppppppppppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11 A display case of glitter stickers are marked 15 for $2. If Cathy wants to buy 30 glitter stickers, how much will Cathy spend?