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AT&T; LTE 8:49 69%-. s3.lite.msu.edu Mystery of the Physical World !! Grades | P

ID: 1575576 • Letter: A

Question

AT&T; LTE 8:49 69%-. s3.lite.msu.edu Mystery of the Physical World !! Grades | People I! Course Contents » » Homework #4 » Orbit the ,-) Timer l-1 Evaluate ,Feedback-Print Info A satellite is in a circular orbit around the earth. The period of the satellite is 20.3 hr. Calculate the radius of the orbit of the satellite. Data: Mass of the earth = 5.98 times 1024 kg Uniform circular motion means that the satellite is accelerated towards the center. The acceleration can be obtained from the law of gravity and the 2nd law combined ) . Tries 3/30 ( What is the speed of the satellite? ) Tries 0/30 Send Feedback

Explanation / Answer

a)

Here Gravitational force is balanced by centripetal force

GMm/R2=4pi2mR/T2

R3 =GMT2/4pi2=(6.67*10-11)(5.98*1024)*(20.3*60*60)2/4pi2

R=3.78*107 m

b)

speed of satellte

V=2piR/T =2pi*(3.78*107)/(20.3*60*60)

V=3249 m/s

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