answer in hours Modify the equation in the textbook for the period of the Earth

Question

answer in hours

Modify the equation in the textbook for the period of the Earth orbiting around the Sun so it can be applied to the period of a satellite in orbit around the Earth. h

b)find the speed of the satelite in km/s

Assume the orbit is circular and use the period of the orbital motion and other information to find the speed of the satellite. km/s

c)  Find the acceleration of the satellite.

Assume the orbit is circular and use the speed of the orbital motion and other information to find the acceleration of the satellite.

m/s2 toward the center of the earth

Explanation / Answer

a) According to tthird Kepler's law, T = 2pi sqrt(r^3 / GM) = 0.23 hours

b) v = sqrt(GM /r) = 1.43 10^1 km / s

c) a = GM / r^2 = 105 m s^-2

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