My Learning Cart
?
Categories
Account

What is the orbital speed of a satellite in a circular orbit at a height h above

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the orbital speed of a satellite in a circular orbit at a height h above the Earth\'s surface?

Options:

  1. sqrt(GM/R^2)
  2. sqrt(GM/(R+h)^2)
  3. sqrt(GM/(R-h)^2)
  4. sqrt(GM/R)

Correct Answer: sqrt(GM/(R+h)^2)

Solution: 

The orbital speed v of a satellite in a circular orbit is given by v = sqrt(GM/(R+h)^2), where G is the gravitational constant, M is the mass of the Earth, R is the radius of the Earth, and h is the height of the satellite above the Earth\'s surface.

What is the orbital speed of a satellite in a circular orbit at a height h above

Practice Questions

Q1
What is the orbital speed of a satellite in a circular orbit at a height h above the Earth's surface?
  1. sqrt(GM/R^2)
  2. sqrt(GM/(R+h)^2)
  3. sqrt(GM/(R-h)^2)
  4. sqrt(GM/R)

Questions & Step-by-Step Solutions

What is the orbital speed of a satellite in a circular orbit at a height h above the Earth's surface?
  • Step 1: Understand that a satellite in orbit moves in a circular path around the Earth.
  • Step 2: Know that the speed of the satellite depends on the gravitational pull from the Earth.
  • Step 3: Recognize that the formula for the orbital speed (v) involves the gravitational constant (G), the mass of the Earth (M), the radius of the Earth (R), and the height of the satellite (h).
  • Step 4: The formula for the orbital speed is v = sqrt(GM/(R+h)^2).
  • Step 5: In this formula, (R + h) is the total distance from the center of the Earth to the satellite.
  • Step 6: To find the orbital speed, you need to plug in the values for G, M, R, and h into the formula.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks