Escape from gravitational field

In summary, to escape from the gravitational field of Earth, the satellite will need to increase its velocity by a certain percentage, which can be calculated using the equation v = √(gh). However, more information is needed, such as the distance the satellite needs to go from Earth, for a complete solution.
  • #1
hafiz ns
16
0
1. A satellite is revolving very close to earth. what is the % increases in velocity needed to escape from the gravitational field of earth

Homework Equations


v= root gh

The Attempt at a Solution


Sorry, i don't have any solution .
 
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  • #2
You have to tell us, what you know. What does escape from the gravitational field of the Earth mean? How far can the satellite go away from the Earth with the increased velocity?
 
  • #3
No need for a full solution on PF. But definite need to know what you do have: equations, attempted solution etc.

##v = \sqrt{gh} ## isn't good enough: need to escape from Earth gravitational field, so ##h \rightarrow \infty ##
 

1. What is escape velocity?

Escape velocity is the minimum velocity needed for an object to escape the gravitational field of a planet or other celestial body. It is dependent on the mass and radius of the body and is calculated using the formula v = √(2GM/R), where G is the gravitational constant, M is the mass of the body, and R is the distance from the center of the body to the object.

2. Can any object escape the Earth's gravitational field?

Yes, any object can escape the Earth's gravitational field if it reaches a velocity greater than the escape velocity of 11.2 km/s. This includes spacecraft, rockets, and even humans with the aid of technology such as spacecrafts or space suits.

3. What factors affect an object's ability to escape a gravitational field?

The main factors that affect an object's ability to escape a gravitational field are the mass and radius of the celestial body it is trying to escape from, as well as the velocity and trajectory of the object. Other factors such as air resistance and the presence of other celestial bodies can also play a role.

4. How does escape from a gravitational field relate to space travel?

Escape from a gravitational field is a crucial aspect of space travel because it allows spacecrafts to break free from the gravitational pull of a celestial body and continue on their journey through space. Without escaping the Earth's gravitational field, for example, spacecrafts would not be able to reach other planets or explore the vastness of outer space.

5. Is it possible to escape the gravitational field of a black hole?

It is theoretically possible to escape the gravitational field of a black hole, but it would require an extremely high velocity that is currently beyond our technological capabilities. The escape velocity of a black hole is known as the event horizon, and in order to escape it, an object would need to reach a velocity greater than the speed of light, which is not currently possible according to the laws of physics.

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