Asteroids X, Y, and Z have equal mass of 7.0 kg each. They orbit around a planet
ID: 3278047 • Letter: A
Question
Asteroids X, Y, and Z have equal mass of 7.0 kg each. They orbit around a planet with M = 7.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. The three asteroids orbit in the same clockwise direction.
PLEASE CHOOSE ONE: less than, greater than, or equal to
Asteroids X, Y, and Z have equal mass of 7.0 kg each. They orbit around a planet with M = 7.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. The three asteroids orbit in the same clockwise direction The angular velocity of Z at v is that of X at v. The period of X is. that of Z. The angular momentum of Z is that of X. The period of Z is that of Y The angular momentum of X at n is that at v. The angular velocity of X at n is that at c The angular velocity of Z at s is.... that at v.Explanation / Answer
1.
The angular velocity of Z at v is equal to that of X at v.
As square of time period of a planet is directly proportional to cube of semi major axis and here semi major axis are same for both. So time periods are same and since angular velocities are inversely proportional to the time period hence they are also the same.
2.
The period of X is equal to that of Z as already discussed above.
3.
The angular momentum of Z is equal to that of X.
As angular momentum is Iw and semimajor axis being same, I (moment of inertia) is same while w is same as already discussed above hence angular momentum of Z is equal to that of X.
4.
The period of Z is less than that of Y.
As the square of time period is directly proportional to cube of semi major axis and semimajor axis is smaller for Z.
5.
The angular momentum of X at n is equal to that at v.
As the angular momentum is conserved.
6.
The angular velocity of X at n is greater than that at c.
As angular momentum is conserved and it equals to Iw and for points closer to the axis of rotation I is lesser so w is greater.
7.
The angular velocity of Z at s is equal to that at v.
As angular momentum is conserved and equals to Iw and for the two points distance from axis of rotation are the same hence I is same so w must be the same.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.