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Wed 29 Nov, 2017 01:38 pm

A 90 kg boy started running from the equator in such a manner that he took five steps every second (three steps North and two steps East), each 2 meters long. At the time he started running, an astronaut in a 2,000 kg spacecraft orbiting the Earth every 94+X minutes, started to play with a 0.67 meter long yo-yo, sliding it back and forth like a pendulum. When the pendulum had gone through 1000+Y periods:

A.) How far was the boy from where he started, and at what compass bearing?

B.) What latitude (degrees, minutes, seconds) did the boy’s GPS read?

C.) How many miles had the spacecraft traveled?

D.) What was the centripetal force on the spacecraft?

E.) What was the astronaut’s mass if his weight in the spacecraft was the same as the boy’s on Earth?

Please solve, leaving X and Y in your answers.

Thank you!