One way you could think about it is that you used science of electronics to develop the technology of a computer
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Answer is B
Hope it Helps!
Answer:
Part 1)

Part 2)

Part 3)

Part 4)

Part 5)

Explanation:
Part a)
Initial angular momentum of the merry go round is given as

here we know that


now we have


Part b)
Angular momentum of the person is given as

so we have


R = 1.99 m
so we have


Part 3)
Angular momentum of the person is always constant with respect to the axis of disc
so it is given as

Part 4)
By angular momentum conservation of the system we will have




Part 5)
Force required to hold the person is centripetal force which act towards the center
so we will have



Seems to me that it flies 400 m/s there and 600 m/s back the same distance.
therefore the average of 400 and 600 is 500 m/s. The distance is the same so the normal formula of (d2-d1)/(t2-t1) is applicable.