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In the video game Halo, space stations (in the shape of a ring with diameter of 10000 km) were constructed deep in outer space.

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In the video game Halo, space stations (in the shape of a ring with diameter of 10000 km) were constructed deep in outer space. The rings rotate to create artificial gravity for their occupants. The artificial gravity makes projectiles have an acceleration of 9.8 m/s, just like on Earth. a. What speed (in m/s) must the outer edge of the ring rotate at to achieve this Earth like gravity? b. If the ring started from rest, and thrust is applied tangent to the ring on the outer most point for 1 year (~8766 hours), what magnitude force is required to get the ring up to the speed from part a? Assume a uniform acceleration speeding up the ring.

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