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?
Practice Questions
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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?
mv^2/r
mvr
mr^2
mv
Angular momentum L = mvr, where v is the orbital speed and r is the radius of the orbit.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: Angular momentum L = mvr, where v is the orbital speed and r is the radius of the orbit.
Steps: 5
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.
