Two satellites S(1) and S(2) revolve rou...

Two satellites `S_(1)` and `S_(2)` revolve round a planet in coplaner circular orbit in the same sense. Their period of revolution are `1` hour and `8` hour respectively. The radius of the orbit of `S_(1)` is `10^(4) km`. When `S_(2)` is closest to `S_(1)`, find
(a) The speed of `S_(2)` relative to `S_(1)`,
(b) The angular speed of `S_(2)` actually observed by an astronaut is `S_(1)`

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Verified by Experts

The correct Answer is:

[(a) `pixx10^(4)km//hr`; (b) `(pi)/(3)` rad/hour]

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