# Escape Velocity from a Black Hole's Gravity

• kingyof2thejring
In summary, escape velocity from a black hole's gravity is the minimum speed required for an object to escape the gravitational pull of a black hole, and it can be calculated using the formula v = &radic; (2GM/r). While it is theoretically possible for objects to escape a black hole's gravity, it would require them to travel faster than the speed of light, which is currently believed to be impossible. If an object does reach the escape velocity, it will be able to escape the black hole's gravitational pull, but it would experience extreme time dilation and gravitational time dilation near the event horizon. The escape velocity can vary for different black holes depending on their mass and size.
kingyof2thejring

## 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?

cheers.....

## 1. What is escape velocity from a black hole's gravity?

Escape velocity from a black hole's gravity is the minimum speed required for an object to escape the gravitational pull of a black hole. It is the point at which the gravitational force of the black hole is equal to the centrifugal force of the object.

## 2. How is escape velocity calculated for a black hole?

Escape velocity from a black hole's gravity can be calculated using the formula v = √ (2GM/r), where G is the gravitational constant, M is the mass of the black hole, and r is the distance from the center of the black hole to the object.

## 3. Can anything escape a black hole's gravity?

It is theoretically possible for objects to escape a black hole's gravity if they have enough energy and velocity. However, for any object to escape the gravity of a black hole, it would need to travel faster than the speed of light, which is currently believed to be impossible according to the laws of physics.

## 4. What happens if an object reaches the escape velocity from a black hole's gravity?

If an object reaches the escape velocity from a black hole's gravity, it will be able to escape the black hole's gravitational pull and continue moving away from the black hole. However, the intense gravitational force near the event horizon of a black hole would cause the object to experience extreme time dilation and gravitational time dilation, making it appear to slow down or even freeze in time from an outside observer's perspective.

## 5. Can escape velocity vary for different black holes?

Yes, the escape velocity from a black hole's gravity can vary depending on the mass and size of the black hole. The more massive and compact a black hole is, the higher the escape velocity will be. For example, the escape velocity for a supermassive black hole is much higher than that of a stellar black hole.

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