Hi guys,
If someone can help me with the attached multiple choice, I'll much appreciate it!
Thanks!
This question has 2 components:
First calculate the weight force of the hanging mass: F=mg, which gives 1.96N
You know that the question refers to satellite in orbit around Earth, so you use F=mv^2 / r . where F is the centripetal force which in this case is the hanging mass which 'pulls' the stopper to the centre. So F= 1.96N (found above)
We know that v = 8.37m/s . therefore, v^2 = approx 70 m/s
m = the mass of the stopper
r= 0.6m (given in Q)
Substituting into centripetal force equation, and rearranging to solve for m we get m= 0.01678 kg, which is approx 17g, therefore B is the answer.
Hope this helps, note how we didnt need to use time, its one of those questions which gives more than you need.