We appreciate your visit to Calculate the velocity of a satellite moving in a stable circular orbit about the Earth at a height of 3700 km. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
To calculate the velocity of a satellite in a stable circular orbit, we can use the formula: velocity = √((G * M) / (r + h)). Using the given height of 3700 km, we can calculate the velocity of the satellite using this formula.
Explanation:
To calculate the velocity of a satellite in a stable circular orbit about the Earth at a given height, we can use the formula:
velocity = √((G * M) / (r + h))
Where G is the gravitational constant, M is the mass of the Earth, r is the radius of the Earth, h is the height of the satellite above the Earth's surface. Plugging in the values for G, M, r, and h, we can calculate the velocity of the satellite.
Using the given height of 3700 km, we can substitute this value into the formula and calculate the velocity of the satellite.
Thanks for taking the time to read Calculate the velocity of a satellite moving in a stable circular orbit about the Earth at a height of 3700 km. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
The velocity of the satellite in a stable circular orbit around the Earth at a height of [tex]3700 km[/tex] is approximately [tex]7026 m/s[/tex].
Why will be stable circular orbit about the Earth at a height of 3700 km?
To calculate the velocity of a satellite in a stable circular orbit around the Earth at a given height, we can use the formula:
[tex]v = sqrt(GM/R)[/tex]
where v is the velocity of the satellite, G is the gravitational constant [tex](6.674 x 10^-11 Nm^2/kg^2)[/tex], M is the mass of the Earth [tex](5.972 x 10^24 kg)[/tex], and R is the radius of the orbit.
First, we need to convert the height of the satellite above the Earth's surface to the radius of the orbit. We know that the radius of the Earth is approximately [tex]6,371 km[/tex], so the radius of the orbit is:
[tex]R = height of satellite above Earth's surface + radius of Earth\\[/tex]
[tex]R = 3700 km + 6371 km[/tex]
[tex]R = 10071 km[/tex]
Now we can plug in the values and calculate the velocity:
[tex]v = sqrt(GM/R)[/tex]
[tex]v = sqrt((6.674 x 10^-11 Nm^2/kg^2)(5.972 x 10^24 kg)/(1.0071 x 10^7 m))[/tex]
[tex]v = 7026 m/s[/tex]
Learn more about stable circular
brainly.com/question/29650954
#SPJ11
