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A satellite is in a circular orbit about the earth (ME = 5.98 x 1024 kg). The period of the satellite is 2.47 x 104 s. What is the speed at which the satellite travels?

Question

A satellite is in a circular orbit about the earth (ME = 5.98 x 1024 kg). The period of the satellite is 2.47 x 104 s. What is the speed at which the satellite travels?

check_circleAnswer
Step 1

Given:

ME = 5.98 x 1024 kg.

Time-period of the satellite = 2.47 x104 s.

Step 2

Calculating the velocity ...

GTONitation fonce ketueen Satclike aud tarth
CMm
F=
Yis the distance
ketwn eanth and latellte S
alve, Fon
mv
o,
OR
Cn Me
Time-pundod oj Satelite, T R
Reamranging fior :
T
Substituting
vnMe
vT
-11
Qx 314x 6.67Xlo x5.48
24
Substitating walus, v
2.43 xlo
upon Solving.
4.66 X1o m/s
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GTONitation fonce ketueen Satclike aud tarth CMm F= Yis the distance ketwn eanth and latellte S alve, Fon mv o, OR Cn Me Time-pundod oj Satelite, T R Reamranging fior : T Substituting vnMe vT -11 Qx 314x 6.67Xlo x5.48 24 Substitating walus, v 2.43 xlo upon Solving. 4.66 X1o m/s

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