006 (part 1 of 3) 10.0 points An early major objection to the idea that Earth is

Question

006 (part 1 of 3) 10.0 points An early major objection to the idea that Earth is spinning on its axis was that Earth would turn so fast at the equator that people would be thrown into space. Given : rearth 6.37 x 106 m mearth = 5.98 × 1024 kg, rmoon = 1.74 × 100 m, g 9.8 m/s2 Show the error in this logic by calculating and the speed of a 112 kg person at the equator. Answer in units of m/s. 007 (part 2 of 3) 10.0 points Find centripetal force on the person. Answer in units ofN 008 (part 3 of 3) 10.0 points Find the weight of the person. Answer in units ofN

Explanation / Answer

According to te given problem,

1. v = 2r / t = 2*6.37*106m / (24hr * 3600s/hr) = 463 m/s

2. Fc = mv²/r = 112kg * (463m/s)² / 6.37*106m = 3.77 N

3. W = mg = 112kg * 9.81m/s² = 1098.72 N.

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