How Does Physics Calculate Satellite Orbit Speed and Escape Energy?

AI Thread Summary
To calculate the orbital speed of a satellite, the Momentum Principle is applied, considering the satellite's mass and its circular orbit radius. The minimum energy required to move the satellite away from Earth involves using the Energy Principle, which accounts for gravitational potential energy. The discussion emphasizes the need to show work and understanding of the principles used in solving these problems. Clarification is sought on whether to derive equations from basic principles or utilize pre-derived formulas. Detailed explanations are requested to fully understand the calculations involved.
jamagner
Messages
5
Reaction score
0
You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.

A satellite of mass 6500 kg orbits the Earth in a circular orbit of radius of 8.4 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024 kg.

What is the speed of the satellite?

What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the Earth?
 
Physics news on Phys.org
jamagner said:
You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part.

That is to say, you need to use them. The forum rules require you to show the readers here at least what you tried to do to work on the problems.

Are you saying that they want you to derive the orbital speed of the satellite starting from basic principles? Or are you allowed to use certain equations that were derived in your course?
 
The minimun energy.

Could someone please answer the question on how to get the minimun energy that was just asked please, explain in full detail.

Thanks
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Potential Energy and raising a satellite from Earth into a Circular Orbit
Replies
5
Views
2K
How Does Satellite Mass Impact Velocity Change for Circular Orbit Achievement?
Replies
5
Views
2K
What is the Correct Radius and Mass of Earth for Satellite Orbit Calculations?
Replies
1
Views
2K
Velocity required to escape the solar system
Replies
15
Views
1K
Change in momentum for a satellite in circular orbit
Replies
6
Views
3K
Finding the radius of the satellite's circular orbit
Replies
3
Views
2K
Satellite Orbiting: Speed, Period, Altitude Calc.
Replies
2
Views
3K
Satellite in circular orbit with friction
Replies
12
Views
8K
How much work is done when a satellite is launched into orbit?
Replies
5
Views
2K
Circular orbit change after gaining mass ejected from sun
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top