To escape the gravitational pull of a black hole, an object must achieve a velocity greater than or equal to the escape velocity at that location. The escape velocity depends on the mass and radius of the black hole.
The formula to calculate the escape velocity (Ve) is given by:
Ve = √(2GM/r)
Where:
- G is the gravitational constant (approximately 6.67430 × 10^(-11) m³/(kg·s²)).
- M is the mass of the black hole.
- r is the distance from the center of the black hole to the object.
It's important to note that the mass of the black hole plays a significant role in determining the escape velocity. As the mass of the black hole increases, the escape velocity also increases, making it more challenging for an object to escape its gravitational pull.
Given the complexities and variables involved, determining the exact velocity required to escape a black hole would depend on the specific mass and radius of the black hole.