Atmospheric escape is the loss of planetary atmospheric gases to outer space. A number of different mechanisms can be responsible for atmospheric escape; these processes can be divided into thermal escape, non-thermal (or suprathermal) escape, and impact erosion. The relative importance of each loss process depends on the planet's escape velocity, its atmosphere composition, and its distance from its star. Escape occurs when molecular kinetic energy overcomes gravitational energy; in other words, a molecule can escape when it is moving faster than the escape velocity of its planet. Categorizing the rate of atmospheric escape in exoplanets is necessary to determining whether an atmosphere persists, and so the exoplanet's habitability and likelihood of life.
Homework Statement
an asteriod with mass 6.6x10^17kg & radius 46km has escape velocity 44ms, but if the projectile is launched horizontally then the escape velocity is only 31ms, show that this is correct
Homework Equations
Vesc = SQRT (2GM/R)
G = 6.67x10^-11
The Attempt at a...
what is the escape speed from Earth for a 7500kg spacecraft ?
radius of Earth is 6.38*10m and mass is 5.98*10kg.
Homework Equations
square root of 2GM/R
[b]3. The Attempt at a Solution . I found escape speed to be 3.4*10ms. Is this right?
Homework Statement calculate the escape velocity of a 10,500kg spaceship from earth. mass of Earth is 5.98*10kg and radius of the Earth is 6.38*10kg.
elevant equations
2GM/R
The Attempt at a Solution Using the formula i found escape velocity to be 3.464*10m/s. Is this correct?
hello... I've got some small problem with Escape velocity. So... is it dependent on geographic coordinate ? I suppose "Yes!"... but is it true?
Using conservation of energy, I calculate this velocity on equator this way:
\frac{mv^2}{2}= \frac{GMm}{R} - \frac{m(2 \pi R)^2}{T^2*R }
Am I right ?
I was wondering how verifiable is the escape velocity equation.
V=SQRT(2GM/r)
How accurately has this equation been verified?
It does not take into account dark matter.
(Related ramblings)
The escape velocity from the earth’s surface is about 11.2 km/s
But there is also air...
The Saturn V rocket for the Apollo missions had rocket reignition at stage 3 to boost speed from 28,160 km/h to 39,430km/h at a stage 2 altitude of 185km.
I got these figures from this site: http://www.aerospaceguide.net/saturn_5.html
I calculated Earth's escape velocity at 11.029 km/s...
I've heard it said that any object that wants to escape another object's gravitational pull must travel at the object's escape velocity. I assume this is incorrect, and would only apply to something with an initial velocity at the escape velocity (like a bullet from a gun would need to travel at...
Homework Statement
The escape velocity is the velocity of an object at the surface of a planet that would
allow it to be removed completely from the planet’s gravitational field.
Calculate the escape velocity for an object on the surface of Pluto.
mass of Pluto: 1.3 *1022
radius of...
Hi guys! I have one question that bothers me for reeeeally long time (and it's NOT homework! :-) I found one question which goes like this "How can physics help you escape from a totally closed empty room?" Of course it means that room doesn't have any doors or windows, it would be too easy to...
Homework Statement
In Fig. 8-36, a runaway truck with failed brakes is moving downgrade at 130 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of θ = 15°. The truck's mass is 1.2 x 104 kg. What minimum length L must the ramp have if the...
first of all, we need to say that this question is not for homework.
Homework Statement
our doubt is in the process of finding the formula (not the value) of escape velocity in the earth; we want to use the principle of conservation of energy for that purpose.
Homework Equations...
Homework Statement
Consider the motion of an object between a point close to the planet and a point very very far from the planet.
Indicate whether the following statements are true or false
Angular momentum about the center of the planet is conserved.
Homework Equations
?
The...
http://news.bbc.co.uk/2/hi/europe/7915137.stm
http://www.sofiaecho.com/2009/02/24/680425_greek-government-under-fire-over-helicopter-jailbreak
These guys are so smart.
Homework Statement
A package of mass 5 kg sits at the equator of an airless asteroid of mass 6.3*10^5 kg and radius 48 m, which is spinning so that a point on the equator is moving with speed 2 m/s. We want to launch the package in such a way that it will never come back, and when it is very...
Homework Statement
The escape speed from a very small asteroid is only 32 m/s. If you throw a rock away from the asteroid at a speed of 44 m/s, what will be its final speed?
Homework Equations
Ki + Ui = 1/2mv^2 + (-GMm/R) = 0 (for v<<c)
The Attempt at a Solution
I am unsure of how to do...
Homework Statement
While visiting a friend in San Francisco, you decide to drive around the city. You turn a corner and find yourself going up a steep hill. Suddenly a small boy runs out on the street chasing a ball. You slam on the brakes and skid to a stop, leaving a skid mark 50 ft long...
I know that escape velocity is given by v^2 = 2GM/r
My question is what is the approximate escape speed needed to completely escape the moon & Earth's gravity.
Is it the sum of their individual Escape velocities? or is it one equation, with the radius' added and masses added?
Thanks
Hi eveyrone!
I am completely new to this forum but didnt know where else to turn for a "problem" of mine..
I am trying to design a new kind of waterpump and still in the teory part of the design, i would be interested to know how i can calculate the "thickness" of water at a certain...
I am a historian[ PhD] who specializes in the History of Science and consequently reads a great deal of physics. Since my childhood I have been fascinated by space travel and have always read that the escape velocity from the Earth's gravational field is 25000 mph. I recently read a book in...
Curved space induces velocity, according to-
\gamma\equiv\frac{1}{\sqrt{1-(v/c)^2}}=\frac{1}{\sqrt{1-(r_s/r)}}
which results in
v_{rel}=-\sqrt{\frac{r_s}{r}}\ c
The velocity induced by the curvature at the surface of the Earth is 11.185 km/s, for the Sun 617.746 km/s which, in each case...
Homework Statement
when a spacecraft escapes from the earth, it still has to escape from the sun, in order to leave the solar system. at what velocity should a spacecraft be launched if it is 6.4x10^6 meters from Earth's centre and 1.5x10^11 meteres from the sun (M=2x10^30 kg) if it is to...
I don't understand why we need an escape velocity, couldn't we escape the planet by accelerating an object above 9.81 m/s^2?
Also, say you've got an object one meter off the ground and you apply a constant 9.81 m/s^2 acceleration upwards to it so the object is hovering, where is the energy...
Let's for arguments sake say that we have an invincible superpower humanoid with as much strength as is necessary.
How much force would this guy have to input into the ground to exceed escape velocity?
How much energy is required?
The ground would also pretty much explode under his feet...
Homework Statement
What is the escape velocity for an object on the surface of a 1.9x10^27kg planet of radius 7.2x10^7m?
Homework Equations
Ve = √2GM/r
The Attempt at a Solution
What I did was take the values for the mass and radius directly from the question then I plugged them...
Anyone know how to do this? I'm in a bit of a pickle trying to solve it :confused:
Harry Houdini (1874-1926) was a famous escape artist. In this project we relive a trick of his that challenged his mathematical prowess, as well as his skill and bravery. It will challenge these qualities in...
Assuming a tachyon exists, can one escape a black hole?
Now, at the singularity of a black hole, gravity is infinite, right?* Since gravity is infinite, would it not suck in everything, even superluminal particles? On the flipside, since gravity can't exceed the speed of light, is it able to...
The question:
At what speed would a small object have to be launched from the satellite in order to escape earth’s gravity, assuming that the satellite is not moving?
The satellite is in circular orbit around the Earth and the radius of the orbit is 4.22 x 10^7.
The main problem I am having...
Homework Statement
The escape speed from the surface of the Earth is 11.2 km/s. What would be the escape speed be from another planet of the same density (mass per unit volume) as Earth but with a radius 5 times that of Earth's?
Homework Equations
I know I have to use v=sqrt2GM/R...
Q.) The escape speed from the surface of Planet Zoroaster is 15.0 km/s. The planet has no atmosphere. A meteor far away from the planet moves at speed 5.0 km/s on a collision course with Zoroaster. How fast is the meteor going when it hits the surface of the planet?
My answer:
15+5=20km/s...
Homework Statement
In the first 2 parts of the problem, I calculated at what temperatures the rms speeds vrms of H2 molecules and O2 molecules would equal the escape speed of Earth (11200 m/s). The answers I calculated for this were 10000 K for H2 and 160000 K for O2. Those answers are...
You are a prisoner in the king's dungeon. You just learned that the food you ate was poisoned. The king has given you a chance to escape death and to be released from prison. You have been given a balance (which you can use no more than three times) and 12 pills with no perceptible...
I'm not quite sure I'm understanding potential energy correctly. Let's say we have a runaway planet in deep space which is going in a perfectly straight line. The planet is perfectly spherical and doesn't have an atmosphere. If an object on the surface spontaneously (for the sake of simplicity...
Pelicans tuck their wings and free-fall straight down when diving for fish. Suppose a pelican starts its dive from a height of 20.0 m and cannot change its path once committed.If it takes a fish 0.15 s to perform evasive action, at what minimum height must it spot the pelican to escape? Assume...
(This was originally posted in https://www.physicsforums.com/showthread.php?t=248625&page=2" but I started a new thread as it was going slightly off topic)
Einsteins equation for gravity is g=ρc2+3P (basically energy density plus 3 times the pressure)-
The equation for Newtonian gravity...
Hey, I'm a first year Astrophysics student, and in revising the Schwarzschild radius, I wanted to derive it and so I started by deriving the escape velocity from first principles, then rearrange to get the Schwarzschild Radius. Child's play, really.
However, depending from where you come from...
Where could one find a table of Helium and/or Hydrogen escape rates through various materials? What is the Physical mechanism: is it tunneling only or other things contribute as well?
Thanks!
To what radius would the Earth have to be shrunk, with no loss of mass, so that the escape speed from the surface of the Earth is 50 km.h-1
50kmh-1 = 13.9 m/s
v=sqrt(2GM/r)
G=6.67 x 10^-11
M=5.98 x 10^24
r=?
13.9=sqrt(7.98 x 10^14/r)
193.21=7.98 x 10^14/r
193.21r=7.98 x 10^14...
Determine the escape speed from (a) Jupiter’s moon Callisto with a mass of 1.07 × 10^23 kg and radius 2.4 Mm and (b) a neutron star twice the mass of the sun and a radius of 6 km.
I want to make sure I'm doing this and have the correct equations..
For part a)
Okay, so escape speed is...
escape velocity is defined in resnick,halliday,walker as 'the certain minimum initial speed that will cause it to move upward forever, theoretically coming to rest only at infinity. This initial speed is called the escape speed.'
the way escape speed is defined here gives me the impression...
Has anyone found that doing mathematics actually results in a sort of soothing "disconnect" from the drudgery of everyday life?
I'm being serious. Something about the numbers, variables, mathematical symbols and theorems...they seem to represent a very unambiguous "reality", entirely free...
Homework Statement
A projectile is fired straight away from the moon from a base on the far side of the moon, away from the earth. What is the projectile's escape speed from the earth-moon system?
Homework Equations
Escape velocity = sqrt[2GM/R]
The Attempt at a Solution
What...
I have a question that I can't figure out. In the Sun, it takes several hundred thousand years for a photon released in the core to reach the surface. Use the speed of light and the radius of the sun to estimate the escape time for a photon from the center of the sun if there were no...
[SOLVED] Density of Asteroids, Escape Velcoity and Jumping
Homework Statement
The question wants to know the maximum radius of an asteroid that you can escape from by simply jumpibng off.
The Variables given:
densities = 2500 kg/m cubed
radii = 470km downwards
height of jump = 1m...
Escape Velocity:
"An object given the escape speed will have zero kinetic energy at r=infinite, and the potential energy is defined to be zero at that point, so the total energy is 0"
I understand having zero potential energy at infinite distance but I do not correlate with having zero...
religious nuttiness reaches a new low (well I guess it isn't just religious...):
http://www.upi.com/NewsTrack/Top_News/2008/01/09/man_severs_hand_to_escape_gods_wrath/1800/