Escape Definition and 374 Threads

Homework Statement A space probe is to be launched from a space station 200 miles above Earth. Determine its escape velocity in miles/s. Take Earth's radius to be 3960 miles. Homework Equations None. The Attempt at a Solution m(dv/dt)=-(mgR^2)/(x+R)^2 dv/dt=-(gR^2)/(x+R)^2 Now what? The...

Homework Statement imagine a planet with half the mass and half the radius of Earth ..with temperature reaching 800K k=1.38×10-23 mass of O₂ = 5.3×10-26 does the planet have O₂ or not? Homework Equations ½mv² = ½kT or ½mv² = kT or ½mv²= 3/2 kT either only vertical or anything other than...

Homework Statement Close to a Schwarzschild black hole, a photon is emitted between r = 2(mu) and 3(mu), where \mu = \frac{GM}{c^2} . The photon is emitted at an angle (alpha) to the radial direction. At r = 2(mu), the highest angle that the photon can escape at is (alpha) = 0; at r = 3(mu)...

1. A satellite is revolving very close to earth. what is the % increases in velocity needed to escape from the gravitational field of earthHomework Equations v= root gh The Attempt at a Solution Sorry, i don't have any solution .

Hi all, So my question is, could you use a weather balloon to assist with escaping the atmosphere and attaching a rocket to take it the rest of the way, and we're talking a really small payload obviously. Would the weight of the fuel/rocket weigh down the balloon enough to significantly...

Hey Guys! I've been doing a few equations in regards to planetary escape velocity and gravitational force. The below links have the escape velocity of listed planet on the left side of the board, the gravitational force between the Sun and given planet on the right side. In the middle of the...

Hey guys and girls. I've been trying to calculate Saturn's Escape Velocity but my answer is coming out way to high. Could someone demonstrate how I would go about finding Saturn's Escape Velocity?

If an object falls through a planet's entire grav. field, before impact it's velocity will be the escape velocity. I assume the time dilation for an observer on the object will be the same as for an observer on the planet. They're not added together. Another point - since time dilation on a...

I'm confused on how you get the formula v=root(2GM/R²). I know you can use work=forcexdisplacement (W=Fd) so F=W/d. W=½mv² and R=d. Hence, F=½mv²/R Equate that to F=GmM/R² and rearrange to get v=root(2GM/R²). That makes sense as it involves the kinetic energy needed/work done in reaching orbit...

Homework Statement What velocity is required to escape from the Earth-Moon system from the surface of the Moon? Assume that all of the necessary velocity is imparted at once, as with a cannon or rail gun on the Moon itself. In what direction must the initial velocity vector be pointed to...

Hey, I'm doing a research on artificial satellites, and I'm really confused about the escape velocity required for an artificial satellite to escape from the gravitational attraction of the Earth. I know that the equation for it is v^2 = 2GM/r , and with that, the rocket should launch at that...

Definition/Summary The minimum launch speed needed to ensure a projectile on the surface of a body will completely break free from its gravitational pull. Escape velocity (being a speed, rather than a velocity) is a scalar. Escape velocity is the same for any mass of projectile, and for...

It is my understanding that at the most fundamental level, a black hole is simply an object with a gravitational field so strong that there exists a sphere that lies outside the body of mass of that object from which the escape velocity is equal to the speed of light. In other words, a body of...

Homework Statement A cylinder containing 19 kg of compressed air at a pressure 9.5 times that of the atmosphere is kept in a store at 7 degrees Celsius. When it is moved to a workshop where the temperature is 27 degrees Celsius a safety valve on the cylinder operates, releasing some of the...

After calculating the gravitational PE using : PE = ( G * m1 * m2 ) / d Then i split the result into KE between the two bodies according to the ratio of the masses, then calculated the individual velocities from those (based on KE = ½ * m * v ²) Any comments ?

Hi, is there a way to compute the escape velocity/kinetic energy of a newly created electron/positron pair ? Or in other words: How much excess energy (beyond 2 times electron mass) has to be put into the creation such that they will escape each other into infinity ? Thanks and cheers

Here is the problem. A rocket of mass m is in a circular orbit around the Earth at a distance R from the center. (a) What tangential impulse, mΔv, must be given to the body so that it just escapes to infinity? My attempt: I set the problem in terms of energy...

Hello, I had some questions on escape velocity. The only methods that I have seen on escape velocity involve the assumption that the mass which is "being escaped from" remains at rest (at a fixed point in space). For example the method of determination of escape velocity using Ki+Ui=Kf+Uf seems...

The escape velocity of a satellite circularly orbiting a large body comes from conservation of energy. Are there any modifications that must be made for the escape velocity of an elliptical orbit? Thanks in advance!

Guy, i have a problem. When we use conservation energy to find the escape velocity, ie the root of potentiality is unlimited, why we don't compute the velocity of earth? We knew the Earth rotated its axis, then everything in surface was had linear velocity. So when we launch a thing, it's...

I have always assumed once we pass through a black hole's event horizon, we can throw away the return ticket. But I have been thinking - is it really so final? Consider two identical black holes close to each other with their even horizons overlapping, or nearly so. Is the spacetime on a...

Look for help on these equations. Any help will be greatly appreciated. Thanks so much! :) The Apollo spacecraft must be traveling at what velocity in order to remain in a 110 kilometer orbit around the moon? The magnitude of the Apollo’s orbital velocity can be computed from the laws of...

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I'm having trouble understanding the idea of escape velocity. How can an object escape the gravity of a massive object like the Earth? No matter what the velocity the object is, doesn't Newton's law of gravity imply that eventually, the force of gravity will cause the object to decelerate, and...

I read in my Chemistry workbook that: "At higher temperatures, vapour pressure increases as more energy is provided to the liquid molecules, allowing them to escape into the gas phase." At the boiling point, all energy is gone into breaking bonds and to convert liquid phase molecules into...

My current level of knowledge is based on Physics I and my own readings, so bear with me if this is something relatively simple that I'm overlooking... Anyway, my question is regarding the energy required for an orbiting body to escape orbit? I understand the formula of escape velocity where...

[b]1. "Calculate the radius of a planet with mean density of 3.0x10^3 m2kg-3, from which a golf ball can be thrown to infinity as a velocity of 40 ms-1" Homework Equations I've been looking at the equation of: Vesc=sqroot of 2*G*M/r and rearranging to r=2*G*M/Vesc. However, the...

Hi, Is it pure coincidence that if you put ##c=v_e=\sqrt{2GM/R}## in the escape velocity, you end up with the Schwarzschild radius ##R=2GM/c^2##? The derivation of the escape velocity is purely classical mechanics. It involves ##E_{kin}=mv^2/2## which is incorrect in special relativity...

Hello everybody, this is my first post to the forum. I am trying to learn concepts in physics at the moment. According to the theory, the concentrated mass of a black hole warps space-time so much, that not even light can escape the event horizon. I have a thought experiment. Say, half the...

This is just something I'm wondering, if we apply enough heat to an object, and since the speed of the molecules inside it is directly measured by temperature, will the molecules inside the object move fast enough to reach the escape speed of the planet that it is on? I know that this is the...

Homework Statement Saturn’s moon Titan is the only moon in the solar system with an atmosphere, which is 95% nitrogen molecules (N2), similar to Earth’s atmosphere. At Saturn’s distance from the Sun, the temperature of the atmosphere is only 95 K (−180◦ C), and the molecules have an average...

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? m_earth= 5.97x10^24kg m_moon= 7.348x10^22kg radius_earth= 6.371x10^6mHomework Equations...

Upon applying the method of finding escape velocity to the E-field, I end up with: \sqrt{\frac{2kQq}{rm}} What I don't understand, conceptually, is why escape velocity decreases as mass increases, in the electric field. What property is actually taking place here?

Homework Statement The radius of Saturn (from the center to just above the atmosphere) is 60300 km (60300✕103 m), and its mass is 570✕1024 kg. An object is launched straight up from just above the atmosphere of Saturn. What initial speed is needed so that when the object is far from...

If an object is launched at escape velocity from the surface of the Earth, how long will it take to reach a given height h? Ignoring air resistance and other gravity, etc.

Hi friends. Somewhere in a reference book I read about escape speed of a particle for earth. Let a particle is projected from the Earth surface. Let its mass be m and speed of projection be u. Let mass of Earth be M and its radius be R. According to law of conservation of energy...

Suppose that on Earth you can jump straight up a distance of 50 cm. Can you escape from a 4.0-km-diameter asteroid with a mass of 1.0 times 10^14 kg?

First, thanks for all the replies to the first post. I was able to predict this result (an engineer did the proof) using an analogy for gravitation I worked out to replace the standard marble rolling on a rubber sheet analogy used to show the effect of curved space time, which is useless on a...

The time dilation caused by gravity on the surface of a planet is equal to the time dilation for an object moving at the planet's escape velocity in space. This can be proved using the Schwarzschild metric. GR doesn't explain why this is true. It seems to be an odd coincidence.

1) The problem: Mars orbits the Sun at a distance of 2.3 * 10^10 m with a speed of 24000 m/s. If it's speed were increased to 30000 m/s, at a time when no other planet was nearby, would Mars leave the Solar System. 2) Fc=Fg Orbit formulas and such 3) I'm assuming you have to find the escape...

Homework Statement Suppose the gravitational force of the Earth on a body was F = \frac{KMm}{r^3}. What escape velocity would a body need to escape the gravitational field of the Earth? Homework Equations v_e = \sqrt{\frac{2GM}{R}} F_g = G*\frac{m_1*m_2}{r^2} The Attempt at a...

On another forum the following question was asked: This was my initial reply: Let: $L$ = distance upstream to the safehouse $W$ = width of the river $v_s$ = swimming speed $v_r$ = running speed All variables above are assumed to be positive. I have set it up as follows...

Society blows. I'm sure that most people have contemplated getting away from it all and just living a peaceful life in solitude. However, humans are social creatures, and there are benefits to having other people around. As a solution, I propose that there be a society of like-minded...

The escape velocity of an object on the surface of the Earth is the minimum speed required for it to "break free" from the Earth's gravitational field without requiring further propulsion. Its value is mathematically determined to be v = \sqrt{\frac{2GM}{R}} with M being the mass of the Earth...

A satellite of mass 7500 kg orbits the Earth in a circular orbit of radius of 7.3(10^6) m (this is above the Earth's atmosphere). The mass of the Earth is 6.0(10^24) kg. What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the...

Hi everyone and thanks for this great forum! I don't understand how is calculating escape velocity important to space travel. I think I am right to say that you can never really escape the gravity of a body. However far your rocket goes, be it 400km or 14 billion light years and making the...

v,escape = (2*mu/r)^(1/2), where mu = G*M. What I'm asking is if this page is wrong about calculating the escape velocity for the moon. They seem to have the equation wrong (missing 2 in front of mu = G*M,moon).

We know that the escape velocity at the schwarzchild radius is c. Since the escape velocity is defined as the velocity needed to escape from the gravitational field, to reach a total energy of 0 at infinity: Doesn't this mean that an object falling from infinity starting at rest, to the...

Homework Statement What is the escape speed of a spaceship fired in space, far away from Earth but at the same distance from the sun as the Earth. Homework Equations Ve = (2GM/r)^0.5 The Attempt at a Solution The problem is that I don't know what the M or r is since it is fired...

Homework Statement A meteoroid with a velocity (when the effect of the Earth's gravity has been eliminiated) of 49.9 km/s when it is at a distance of 1.50x10^11m from the sun. (a) Using energy calculations show that this object has an open orbit and is therefore not restricted to our solar...