Physics: Circular motion and the orbital speeds of satellites

In summary, the conversation discusses two satellites, with one having a larger mass and radius than the other. The question is which satellite has a greater speed, which can be determined using the equation V=√GM/R. The answer is the satellite with a smaller mass and radius.
  • #1
YMMMA
156
10

Homework Statement


Satellite 1 has mass m1 & radius R1 and satellite 2 has mass m2 and radius 2R1
Which satellite’s speed is greater?

Question and my attempt are shown in the attached file.

Homework Equations


V= √GM/R

The Attempt at a Solution


I am not sure if my steps are correct, but if there’s an easier solution, I need to know it.
 

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  • #2
You are using the correct equations and you have the right answer. There is no easier solution if you are seeking a numerical answer for the ratio.
 
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  • #3
kuruman said:
You are using the correct equations and you have the right answer. There is no easier solution if you are seeking a numerical answer for the ratio.
Okay, then.
 

FAQ: Physics: Circular motion and the orbital speeds of satellites

1. What is circular motion?

Circular motion is the movement of an object along a circular path at a constant speed. It is characterized by the object's constant distance from a fixed point, known as the center of the circle.

2. How do satellites maintain their orbital speeds?

Satellites maintain their orbital speeds through a balance between the centripetal force, which pulls the satellite towards the center of the Earth, and the gravitational force, which pulls the satellite towards the Earth.

3. What factors affect the orbital speeds of satellites?

The orbital speed of a satellite is affected by the mass of the satellite, the mass of the body it is orbiting, and the distance between the satellite and the body it is orbiting. These factors determine the strength of the gravitational force and, therefore, the speed needed for the satellite to maintain its orbit.

4. How do scientists calculate the orbital speed of a satellite?

The orbital speed of a satellite can be calculated using the formula v = √(GM/r), where v is the orbital speed, G is the gravitational constant, M is the mass of the body being orbited, and r is the distance between the satellite and the body. This formula is derived from Newton's law of universal gravitation.

5. Can the orbital speed of a satellite be changed?

Yes, the orbital speed of a satellite can be changed by altering its distance from the body it is orbiting or by changing its mass. This is often done through the use of thrusters or gravitational assists from other bodies. However, the change in orbital speed must be carefully calculated to avoid disrupting the balance between the centripetal and gravitational forces.

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