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A satellite is in a circular orbit around the Earth. What is the angular momentu

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Question: A satellite is in a circular orbit around the Earth. What is the angular momentum of the satellite if its mass is m, its orbital radius is r, and its orbital speed is v?

Options:

  1. mv^2/r
  2. mvr
  3. mr^2
  4. mv

Correct Answer: mvr

Solution: 

Angular momentum L = mvr, where v is the orbital speed and r is the radius of the orbit.

A satellite is in a circular orbit around the Earth. What is the angular momentu

Practice Questions

Q1
A satellite is in a circular orbit around the Earth. What is the angular momentum of the satellite if its mass is m, its orbital radius is r, and its orbital speed is v?
  1. mv^2/r
  2. mvr
  3. mr^2
  4. mv

Questions & Step-by-Step Solutions

A satellite is in a circular orbit around the Earth. What is the angular momentum of the satellite if its mass is m, its orbital radius is r, and its orbital speed is v?
  • Step 1: Understand what angular momentum is. Angular momentum is a measure of how much motion an object has when it is moving in a circular path.
  • Step 2: Identify the variables involved. We have three important variables: the mass of the satellite (m), the radius of its orbit (r), and its speed (v).
  • Step 3: Recall the formula for angular momentum. The formula for angular momentum (L) in circular motion is L = mvr.
  • Step 4: Plug in the values. To find the angular momentum, you multiply the mass (m) of the satellite by its orbital speed (v) and the radius (r) of its orbit.
  • Step 5: Write the final expression. The angular momentum of the satellite is L = mvr.
  • Angular Momentum – Angular momentum is a measure of the rotational motion of an object, calculated as the product of its mass, velocity, and the radius of its circular path.
  • Circular Motion – In circular motion, an object moves along a circular path, and its angular momentum depends on its speed and distance from the center of rotation.
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