a) What are the given quantities in the problem? b) Make a diagram of the Earth-

Question

a) What are the given quantities in the problem?

b) Make a diagram of the Earth-ISS system and draw in all the forces that are acting on the two objects.

c) What are we trying to solve for?

d) What physics concept or concepts are at play here (use terminology learned in class)? Focus on those that will help you to solve for the unknown. Briefly explain why they will help you solve for the unknown. You should NOT list equations.

e) What equation or equations are useful in quantifying the concepts mentioned in part (d)? These should be written in a symbolic form, without substituting any of the given quantities into them. Which quantities are known and which must be solved for?

f) Use the appropriate equations in combination with the given quantities to solve for the unknowns.

g) Answer the question that was originally asked in the problem.

The International Space Station is located roughly 400 km above the Earth's surface Like the Moon, the ISS is always in free-fall towards the Earth, it is feeling a gravita- tional attraction due to the Earth's mass. Some useful constants: G - 6.67 x 10-11 N'm Maarth 5.98 x 1024 kg, REarth 637 x 106 of the ISS using the assumption that it moves along a circular orbit m, g 9.81 . Calculate the orbital period

Explanation / Answer

Orbital period of ISS   = T

=>   Centripetal Force for ISS = Gravitational attraction by Earth

=> mv2/r   =   GMm/r2

=>     orbital speed , v =   sqrt(GM/r)

                =   sqrt(6.67 * 10-11 * 5.98 * 1024/6.77 * 106)

               = 7675.72 m/sec

=>     Orbital period of ISS ,T = 2 * 3.14 * 6.77 * 106/7675.72

                                                = 5539 sec

                                              =   1.5386   hours

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