Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 575 km above the surface of the Moon, where the acceleration due to gravity is 0.949 m/s2. The radius of the Moon is 1.70 ✕ 106 m.

a) Determine the astronaut's orbital speed. (Answer in m/s)
b) Determine the period of the orbit. (Answer in s)

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be

hypothesising or postulating

force required to detach it is given by

charges are taken to be fundamental charge

now we have

so above is the minimum distance at which it will detach