Homework SourseA halfcircular ring is hovering is hovering in deep space It
A half-circular ring is hovering is hovering in deep space. It has a radius of 3000 meters. Ignore the thickness of the ring. The mass of the ring is 314159 kg, evenly distributed along the ring. A 50 kg LFCAC in a spacesuit is at the point that would be the center of the circle if the ring were a complete circle. What is the magnitude of the initial acceleration of the LFCAC?
Solution
Let
M = 314159 kg
m = 50 kg
R = 3000 m
here we need to do integration,
After doing integration,
force acting on LFCAC, F = (1/2)*G*M*m/R^2
acceleration, a = F/m
= (1/2)*G*M/R^2
= (1/2)*6.67*10^-11*314159/3000^2
= 1.16*10^-12 m/s^2 <<<<<<----------Answer
