Question

Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M = 3.20x1024 kg. The orbits are in the plane of the paper and are drawn to scale. X The three asteroids orbit in the same clockwise direction. greater than The angular momentum of Z at e is... that at r greater than The angular momentum of Z is . that of X The anqular velocity of Z at r is .... that of X at r. The period of X is .... that of Z The period of X is .... that of Y The angular velocity of X at r is .... that at s The angular velocity of Z at v is .... that at e. equal to greater than less than equal to less than Submit Answer Incorrect. Tries 6/12 Previous Tries

Help please!! I am struggling to understand this, i feel like i have tried everything

Answer 1

1. In central force motion angular momentum remains conserved. There angular momentum at e will be same as that r

Same.

2. Angular momentum for Z is less than that X.

less than

3. Since  
L=mr?
. And  
Is > La
.
لاله م لی
at same distance r.

less than

4. Time period . Where a is semi-major axis of ellipse. Since semi-major axis for Z is smaller than X.

Τα α3/2

Therefore time period of X will be larger than Z.

greater than

5.  Since semi-major axis for X is smaller than Y. Therefore time period of X will be smaller than Y.

less than

6. Since angular momentum is same at all point of an orbit and
L=mr?
. Where r is position vector magnitude. Therefore when ever r is large $\omega$ will be small and vice versa. Since r is large at point r than at point s. Therefore angular velocity at point r will be less than that at point s

less than

7. r at v is larger than that at e. Therefore angular velocity will be less at v than e.

less than