Satellite Physics Problem: Calculating Velocity for Orbit Maintenance

In summary, a satellite will remain in orbit when the centripetal acceleration is equal to the acceleration due to gravity. To find the speed necessary for the satellite to stay in orbit, we can use the equation ac=v^2/r. However, since we do not know the value of ac, we can use the formula for Newton's Universal Law of Gravitation, F = G mM/r^2, and set it equal to the known value of 9.8 m/s/s. This will give us the necessary velocity for the satellite to stay in orbit, assuming it is skimming the surface of the Earth.
  • #1
Coco12
272
0

Homework Statement



a satellite will remain in orbit such that the centripetal acceleration is equal to the acceleration due to gravity. The radius of the satellites orbit is 6.37*10^6m. What speed must the satellite travel to stay in orbit?

Homework Equations



ac=v^2/r

The Attempt at a Solution



Would I just take the sqrt of ac*r to get the velocity?
 
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  • #2
This is a good start. But do you know ac?
 
  • #3
Won't ac be 9.8? Since it is equal to acc due to gravity?
 
  • #4
Coco12 said:
Won't ac be 9.8? Since it is equal to acc due to gravity?

That's only valid at the surface of the Earth ... do you know how to find it at any distance from the center of the earth? That is what you need!
 
  • #5
How do u find it?
 
  • #6
Newton's Universal Law of Gravitation ... F = G mM/r^2.
 
  • #7
mM stands for?
 
  • #8
Mass of earth, mass of satellite.
 
  • #9
Coco12 said:
The radius of the satellites orbit is 6.37*10^6m.
Compare that to the radius of the Earth. Seems that the satellite is just skimming the surface. Is that the intention?
 
  • #10
I think so because we did not learn the formula: Newtons gravitational force yet. We only learned about ac and FC and simple harmonic motion. So I don't think the teacher will give us something that we never used yet??
 
  • #11
In that case use acceleration = 9.8 m/s/s
 

Related to Satellite Physics Problem: Calculating Velocity for Orbit Maintenance

1. What is a satellite?

A satellite is an object that orbits around a larger object in space. In the context of satellite physics problems, this typically refers to an artificial satellite that is launched and controlled by humans.

2. How do satellites stay in orbit?

Satellites stay in orbit due to a balance between their forward motion and the force of gravity pulling them towards the larger object they are orbiting, such as Earth. This is known as centripetal force.

3. How is the speed of a satellite determined?

The speed of a satellite is determined by its orbital radius and the mass of the object it is orbiting. This can be calculated using the formula v = √(GM/r), where G is the gravitational constant, M is the mass of the larger object, and r is the distance between the satellite and the larger object.

4. What factors affect the orbit of a satellite?

The orbit of a satellite can be affected by factors such as the shape and size of the orbit, atmospheric drag, and external forces such as gravitational pull from other objects.

5. How do scientists track and communicate with satellites?

Scientists track and communicate with satellites using ground stations equipped with specialized equipment, such as antennas and transmitters. These stations can send and receive signals to and from satellites, allowing for communication and monitoring of their movements.

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