Escape Definition and 370 Threads

A projectile if fired vertically from Earth's surface with an initial speed of 8.2 km/s. Neglecting air drag, how far from the survace of Earth will it go? Well, I know that the escape speed of Earth is 11.2 km/s. how would i go about solving this?

I can't seem to obtain the right answer using the escape velocity formula. I think my problem is with the gravitational constant. I would like to find the escape velocity of the sun. v_e=\sqrt{\frac{2GM}{r}} or v_e=\sqrt{\frac{2\mu}{r}} v_e_\odot=617.54(km/s)...

Question: The radius of a neutron star is 750 times smaller than the Earth's radius, and its mass is 1.8 times larger than the Earth's mass. What is the escape velocity from the surface of a neutron star? (Ignore the fact that, at high speeds, one should not really use mv^2/2 for the kinetic...

problem: Taking the potential energy to be zero at infinite separation, find the potential energy of a 118.0-kg object at the surface of the earth. (Use 6.37E+6 m for the Earth's radius.) I did this and got -7.374E09. It then asks Find the escape speed for a body projected from this...

How would one go about calculating the escape velocity of an object with mass m from the center of the Earth. I understand that that when launched from the surface of the Earth, mechanical energy is conserved and you end up with v escape =sqrt[2gRe] So what i did was i calculated what i...

I've been thinking about this for a while now, and I was wanting to know what you guys think. The problem states: Show that a projectile with mass "m" can escape from the surface of a planet if it is launched vertically upward with a kinetic energy greater than MgR, where R is the the planet's...

I have a 3 part question, and I have managed to get 2 of the three parts, but I can not figure out the 3rd for the life of me. A projectile is shot directly away from Earth's surface. Neglect the rotation of Earth. (C) What is the least initial mechanical energy required at launch if the...

Let's say I have an object orbiting the Sun in a circular orbit with an orbital velocity of 30 km/s. If I want to accelerate prograde into a hyperbolic orbit, and I'd like my velocity relative to the Sun to be 1 km/s at infinity, what is the formula I'd use to figure out how much delta v in the...

Hi, me again. I have another question concerning the gravitation equation. My physics book shows through a proof that the escape velocity of an Earth satelite is just sqrt(2) greated than the orbital velocity. But I am having trouble seeing how this is so. My instinct tells me that if I increase...

Escape velocity at particular radius from the gravitational source means the initial speed that an object needs at that raduis in order to coast without limit ("to infinity") without ever falling back to the gravitational source. If the escape velocity at a radius is so large that nothing...

Here is a celestial mechanics problem I can't seem to solve:To escape the solar system, an interstellar spacecraft must overcome the gravitational attraction of both the Earth and Sun. Ignore the effects of the other bodies in the solar system. Show that the escape velocity is v =...

Help me understand this please. Why is the escape velocity of Earth so fast? Doesn’t the gravitational pull of the Earth weaken as you get farther away from the center of the Earth? I can jump a couple feet into the air… I’m am going upwards nowhere near 27k miles an hour… if I could...

What is the reason why something, once it enters the event horizon of a black hole, it cannot escape? I've often heard the answer given that at the event horizon the escape velocity equals the speed of light, and from within the horizon a superluminal velocity is required, which is impossible...

I seen times in general physics book for sections with problems concerning the electron that their speeds in some answers come above that of speed of light... I wonder if this is a common recurring mistake or if it is possible for electrons to escape this speed limit.

I am finding this question to be a bit challenging--- Determine a formula for the maximum height h that a rocket will reach if launched vertically from the Earth's surface with speed Vo. (< Vesc) (Ignore air resistance and the Earth's rotation) I know I should plug in numbers only until...

If a particle is launched with kinetic energy as it gets further from the mass (eg a planet) the kinetic energy decreases. However Potential Energy GMm/r also decreases the further you get from the mass. Where does all this energy go? :confused: Granted, the calculation U + K = 0 does give...

In my class, we developed a list of formulas for circular orbits. One of them is E/m=1/2v2-GM/r=constant. To derive escape velocity we find for what v does E=0. But an orbit of this nature is certainly not circular! How can we apply the formula?

Ive heard that the escape velocity of a body is the same as the maximum velocity that can be achieved from gravitational acceleration from the same body. Like say it requires a spacecraft to be moving at about 11 km/sec to escape Earth's gravity, and we isolated the Earth and spacecraft , so...

First, let me thank you in advance for your patience. I understand there is a lot of foundation I need to build before I can truly learn much of what I need to know, and I thank you for your assistance. We know that gravity is strongest closest to large objects. Gravity seems to effect...

I know that the escape velocity for virtual particles being emitted from black holes is c2+ (in the black hole entropy formula, there is an escape velocity of c3). I also know that Hawking radiation and for that matter*(I don't mean matter in physics terms), any radiation being emitted from a...