Escape velocity Definition and 220 Threads

Homework Statement A satellite with a mass of 5.00x10^2 kg is in a circular orbit, whose radius is 2re, around Earth. Then it is moved to a circular orbit with a radius of 3re. e) Calculate the escape velocity for the satellite if it is on Earths surface. Homework Equations Vesc =...

Homework Statement A projectile is fired from the Earth in the direction of the earth’s motion around the sun. what minimum speed must the projectile have relative to the Earth to escape the SOLAR SYSTEM? Ignore the earth’s rotation. Homework Equations escape velocity = sqt[(2G x...

\sqrt{}Homework Statement What is the escape speed (in m/s) of an electron launched from the surface of a 7.42 cm diameter glass sphere that has been charged to 7.04 nC? Homework Equations u=kqq/r KE=1/2MV^2 UO=KE The Attempt at a Solution here is what i did kqq/r = 1/2mv^2...

Consider a spoked wheel of radius r. The instantaneous tangential velocity of a point on the rim is v. A test particle in the form of a small bead that can freely slide along a spoke when released, is placed as close to the axis as possible so that for the sake of argument its radial...

A certain planet with a radius of 8.30×107 m has an escape velocity of 3.60×104 m/s. What is the mass of this planet? How do i solve this?

Okay this equation is giving me some trouble, I just have a question vescape = √(2GM)/R Say I wanted to find the escape velocity of myself 3 meters away So I would use vescape = √(2)(6.674*10^-11)((145*4.44)/9.8)/(3) = 5.419003598 *10^-5 So does this mean something that moves that slow cannot...

Okay, I just found this new equation (new to me) for the escape velocity of a body. escape velocity = √(2GM)/R So say for instance I plug this into the escape velocity of the earth I am going to say the radius is 4001 miles so I it would take a mile above the Earth to escape (4001 * 1600) =...

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...

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?

Assuming a vacuum above the Earth's surface

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...

How do you Calculating the escape velocity? I googled it but they give bad instructions on how to do it. What is the formula?

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...

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

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...

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...

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...

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...

(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...

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...

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...

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...

Hi, I just had a question that why the total mechanical energy has to be zero in order for an object to achieve escape velocity? Thanks!

of course i know how to count thaht but i ve got one question. If something is moving on the orbit with velocity v, and escape velocity is u, then when we want our object to escape , the minimum speed which we must add is u-v ?

Homework Statement A projectile is launched from the surface of a planet (mass = M, radius = R). What minimum launch speed is required if the projectile is to rise to a height of 2R above the surface of the planet? Disregard any dissipative effects of the atmosphere. Homework Equations...

I'm being confused between a Physics past exam paper book and a Physics study guide. Is the escape velocity derived from EK + EP = 0 (this makes the escape velocity depend on the mass of the body to escape from i.e. Earth or a planet) or EK = EP (this makes the escape velocity depend on the...

Though my question is stupid, please help me out... Why can't I get out of the gravitational potential field without the escape velocity?

Homework Statement By considering the gravitational potential energy of an object at the surface , find an expression for the escape speed from the surface and determine its value. Homework Equations GPE= mgh The Attempt at a Solution KE= 1/2* m * v^2 GPE= mgh GPE+ KE = 0...

Hi guys...something does not seem right in physics... escape velocity is defined as the initial velocity required by a projectile to rise vertically and just escape the gravitational field of a planet and gravitational potential energy = 0 only at infinity displacement from planet (i.e...

hi, i have been looking for a while but stillnot managed to find a vector equation for the Escape Velocity. i know the escape velocity is: v=sqrt(2GM/r) i would like a vector form to extend a program i am making for a three body gravitational problem many thanks richard

can someone please help: i know escape velocity is the velocity you need to give an object for it exit the pull of the Earth and travel an infinite distance away from earth. now let's say you have a space shuttle that you need to take to Mars or the moon or something. why would you need to...

Homework Statement A black hole has a mass of 2x10^31 kg What is the minimum radius from which a photon can escape its gravity? Homework Equations The Attempt at a Solution does this equation give me the answer "gravitational radius" = (2Gm)/c^2

I have a rather simple question for the minds who paruse this forum. My question is this. Can a baseball thrown overhand by a human being by provided with enough backspin for it to escape it's initial velocity vector, and in fact actually rise as it approaches the plate?Thank you,Tim.

i read that the escape velocity from black hole is greater then C, my question is: is that true for all black holes, or we could have some black holes which have smaller escape velocity than C, there's the equation v=sqrt(2MG/R) which implies that M/R>c^2/2G, but does the star before it becomes...

The question is, Does the universe (the conglomeration of all energy in existence) logically require an escape velocity? My reasoning is thus. If the universe is at least partially composed of massive objects that exert gravitational pull, wouldn't the sum of every massive object in the...

"In physics, for a given gravitational field and a given position, the escape velocity is the minimum speed an object without propulsion, at that position, needs to have to move away indefinitely from the source of the field, as opposed to falling back or staying in an orbit within a bounded...

I keep reading that escape velocity from the Earth is about 7 miles per second or 25,000 miles an hour... I know escape velocity is determined by the size of the object with the gravitational pull (earth) and how far away you are from the center. What I can't seem to understand is how 2 objects...

Q: In the absenceof air resistance, the least speed with which a body must be projected vertically upward from the Earth's surface if it is to reach an altitude of 800km is... 800km = 8.00x10^5 m radius of Earth = 6.37x10^6 m mass of Earth = 5.99x10^24 kg Kf +Uf = Ki + Ui 0 + 0 = 1/2...

Question 1: If a projectile is launched from Earth with a speed equal to the escape speed, how high above the Earth's surface is it when its speed is 96% of the escape speed? On this question i understand i am not finding how high it would go if it were launched at 96% of the escape velocity...

Consider a spherical asteroid with a radius of 5 km and a mass of 8.65x10^15 kg. (a) What is the acceleration of gravity on the surface of this asteroid? ANSWER: ___ m/s2 (b) Suppose the asteroid spins about an axis through its center, like the Earth, with an angular speed . What is the...