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Physics
Physics
Problem
Which one of the following expressions correctly gives the speed
v
o
r
b
v_{orb}
v
or
b
of a satellite moving in a circular orbit of radius
r
r
r
around a planet of mass
M
M
M
? a)
v
o
r
b
=
G
M
2
r
\displaystyle v_{orb}=\sqrt{\dfrac{GM}{2r}}
v
or
b
=
2
r
GM
b)
v
o
r
b
=
2
G
M
r
\displaystyle v_{orb}=2\sqrt{\dfrac{GM}{r}}
v
or
b
=
2
r
GM
c)
v
o
r
b
=
G
M
r
\displaystyle v_{orb}=\sqrt{\dfrac{GM}{r}}
v
or
b
=
r
GM
d)
v
o
r
b
=
2
G
M
r
\displaystyle v_{orb}=\sqrt{\dfrac{2GM}{r}}
v
or
b
=
r
2
GM
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