Hey guys could I have some help with these questions? I just don't understand the mathematical working out. Thanks!
Hey!
For the first one, sidzeman is 100% correct (if you need any clarification, I'll be happy to help)
2) For this question, we know the radius is the same while the planets mass changes, and we need to know how fast it is going.
Orbital velocity is the formula which pops to mind here.
As we know Xerus is 4 times the weight of earth, we will assume earth's mass = 1, and Xerus's mass = 4
For Earth:
As the other terms are constant for both equations, we can just ignore them
For Xerus;
From this, we can tell that the satellite around Xerus is going TWICE as fast than the satellite around Earth.
and as we know, If something is going twice as fast, it will take HALF the time. (IE its period is half)
So from this, it is B
EDIT: when posting, I was not alerted of sidzeman's edit
Well done to you sir!