Is Additional Speed Beyond Orbital Velocity Needed for Escape?

In summary, the conversation discusses the concept of escape velocity and the minimum speed needed for an object to escape from an orbit. It also mentions the application of energy conservation to determine the answer to the question. The conversation ends with a hypothetical scenario of a mass with horizontal velocity on Earth and whether it would escape if its velocity is greater than the escape velocity.
  • #1
menager31
53
0
of course i know how to count thaht but i ve got one question. If something is moving on the orbit with velocity v, and escape velocity is u, then when we want our object to escape , the minimum speed which we must add is u-v ?
 
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  • #2
You have an object of mass m which has first an orbital velocity Vo (or "v") and an additional velocity V' at a radius R from a mass M, and, afterwards, zero velocity at infinity (R = infinite) escaping from mass M. If you apply energy conservation between (1) and (2) and check against u² = 2GM/R you will find out the answer to your question.
 
  • #3
i know how to count it but you are thinking about sth else let's say that our mass has got horizontal velocity on the Earth If this velocity is more than escape velocity, will the mass escape?
 
  • #4
menager31 said:
i know how to count it but you are thinking about sth else let's say that our mass has got horizontal velocity on the Earth If this velocity is more than escape velocity, will the mass escape?

Yes, it will.
 

1. What is escape velocity on an orbit?

Escape velocity on an orbit is the minimum speed required for an object to break free from the gravitational pull of a larger body and enter into a stable orbit around it. It is also known as the escape speed or critical velocity.

2. How is escape velocity calculated?

Escape velocity is calculated using the formula: v = √(2GM/r) where v is the escape velocity, G is the gravitational constant, M is the mass of the larger body, and r is the distance between the two objects.

3. What factors affect escape velocity?

The factors that affect escape velocity include the mass of the larger body, the distance from the center of the larger body, and the gravitational constant. Generally, the larger and more massive the body, the higher the escape velocity.

4. Can escape velocity be achieved on Earth?

Yes, escape velocity can be achieved on Earth. It is approximately 11.2 kilometers per second or 25,000 miles per hour. This is the speed required for an object to break free from Earth's gravitational pull and enter into orbit around the planet.

5. What happens if an object exceeds escape velocity?

If an object exceeds escape velocity, it will escape the gravitational pull of the larger body and continue on a path into outer space. This is why rockets must reach and exceed escape velocity in order to leave Earth's atmosphere and enter into space.

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