For a satellite so that it could stay over the same point on Earth's surface the orbital radius r is given by _.
Correct answer: C. r = [GMT2 / 4x2 ] 1/3
- A. r2 = GMT2 / 4x2
- B. r2 = [GMT2 / 4x2 ] 1/3
- C. r = [GMT2 / 4x2 ] 1/3
- D. r = [GMT / 4x2 ] 1/3
Explanation
For a satellite, the gravitational force provides the centripetal force; therefore: Fg=Fc {where Fg is the gravitational force and Fc is the centripetal force} GMm/r2=mv2/r Make R the subject of the equation to obtain: r=[GMT2/4x2]⅓
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