Calculating Satellite Orbit Radius on the Moon

AI Thread Summary
To calculate the radius of a satellite's orbit around the Moon, the gravitational field strength and the altitude of the satellite must be considered. The Moon's radius is 1.74 x 10^6 m, and the satellite orbits at an altitude of 100 km, which adds to the radius. The gravitational field strength on the Moon is 0.17 times that of Earth's, but the problem lacks specific values for period or mass. A more straightforward approach may be needed to find the orbit radius without those parameters. Understanding the relationship between gravitational force and orbital radius is key to solving the problem.
kim123
Messages
1
Reaction score
0

Homework Statement


The gravitational field strength on the moon, which has a radius of 1.74 x 10^6 m, is
approximately 0.17 as large as the gravitational field strength at the surface of the earth. The satellite is at an altitude of 100km above the moon.

What is the radius of the orbit of the satellite?


Homework Equations


I thought I would use the T^2/R^3= 4pi^2/GM


The Attempt at a Solution


That's just the thing. There is no period or mass in the problem, so I'm not sure how to solve this.
 
Physics news on Phys.org
Re-read the question carefully. There may be a more direct path to the answer.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top