The Total Energy of an Object at Escape Velocity

In summary, the conversation discusses the calculation of additional energy and speed required for a 460kg satellite to escape a circular orbit with an altitude of 850km above Earth's surface. The binding energy is found to be 1.27*10^10 J and the escape speed is calculated using the formula sqrt(2GM/r). The total energy of an object moving at escape velocity is not equal to the binding energy according to the answer provided.
  • #1
aeromat
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Question:
A 460kg satellite is launched into a circular orbit and attains an orbital altitude of 850km above Earth's surface. Calculate the:


e) additional energy and speed required for the satellite to escape.

Attempt:
I found Ek to be 1.27*10^10 J
Thus, the total energy is -1.27*10^10 J
The binding energy is 1.27*10^10 J.

Wouldn't the additonal energy it needs be the binding energy?
The escape speed would be calculated by root of:

v(esc) = root of 2GM/r

But the answer at the back says otherwis.e... :roll:
 
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  • #2
What is the the total energy of an object moving at escape velocity?
 

FAQ: The Total Energy of an Object at Escape Velocity

What is a satellite?

A satellite is an object that orbits around a larger object in space. Satellites can be natural, such as the moon orbiting Earth, or artificial, such as man-made satellites used for communication or scientific research.

How does a satellite orbit around Earth?

A satellite orbits around Earth due to the gravitational force between the two objects. The satellite is constantly falling towards Earth, but its horizontal velocity is great enough to keep it in a circular or elliptical orbit.

What factors determine the orbit of a satellite?

The orbit of a satellite is determined by its speed, altitude, and the mass of the object it is orbiting. Other factors, such as atmospheric drag and gravitational pull from other objects, can also affect the orbit.

How many satellites are currently orbiting Earth?

As of 2021, there are approximately 2,700 satellites orbiting Earth. This includes both operational and non-operational satellites.

How are satellites used for scientific research?

Satellites are used for a variety of scientific research, including studying weather patterns, mapping the Earth's surface, monitoring changes in the environment, and observing distant objects in space. They can also be used to collect data on Earth's atmosphere, oceans, and land for various scientific studies.

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