Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet
ID: 1645805 • Letter: A
Question
Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet with M = 3.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale.
The three asteroids orbit in the same counterclockwise direction.
The period of X is .... that of Z.
The angular momentum of Z is .... that of Y.
The angular momentum of Z at s is .... that at v.
The angular velocity of Y at r is .... that at v.
The angular velocity of Y at v is .... that of Z at v.
The angular velocity of Z at v is .... that at s.
The period of Y is .... that of Z.
Options are >, <, or =
Explanation / Answer
Step 1
As square of time period is directly proposonal to the cube of semi major axis of orbit , therefore
The period of X is > that of Z
as semi major axis of X is greater than Z
Step 2
semi major axis of Z is less than Y ,
L= mw2r
therefore The angular momentum of Z is < that of Y.
Step 3
The angular momentum of Z at s is > that at v.
as at point s curvature of Z is greater X
Step 4
The angular velocity of Y at r is = that at v.
as it is circular orbit
Step 5
The angular velocity of Y at v is > that of Z at v.
The angular velocity of Z at v is < that at s.
The period of Y is> that of Z.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.