To solve the problem, it is necessary the concepts related to the definition of area in a sphere, and the proportionality of the counts per second between the two distances.
The area with a certain radius and the number of counts per second is proportional to another with a greater or lesser radius, in other words,


M,m = Counts per second
Our radios are given by



Therefore replacing we have that,






Therefore the number of counts expect at a distance of 20 cm is 19.66cps
-- If 2,000 newtons of force were applied through a distance of 1,000 meters,
then 2,000,000 newton-meters = 2,000,000 joules of work were done.
-- 45 minutes = (45 x 60) = 2,700 seconds
-- Power = (work) / (time) = (2,000,000 j) / (2,700 s) = <u>740.74 watts</u>
Interestingly, that's almost exactly 1 horsepower. (0.99295... of 746 watts)
Answer:
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