AP Physics C Mechanics Quiz
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ENERGY AND MOMENTUM OF ROTATING SYSTEMS
Question 1
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A satellite is launched into a circular orbit; which condition on initial tangential speed ensures stable orbit at radius
r
r
r
?
A
v
=
G
M
/
r
v=\sqrt{GM/r}
v
=
GM
/
r
so that
G
M
m
/
r
2
=
m
v
2
/
r
GMm/r^2=mv^2/r
GM
m
/
r
2
=
m
v
2
/
r
.
B
v
=
G
M
/
r
2
v=\sqrt{GM/r^2}
v
=
GM
/
r
2
so that
G
M
m
/
r
=
m
v
2
/
r
GMm/r=mv^2/r
GM
m
/
r
=
m
v
2
/
r
.
C
v
=
G
M
/
r
v=\sqrt{GM/r}
v
=
GM
/
r
so that
G
M
m
/
r
=
m
v
2
/
r
2
GMm/r=mv^2/r^2
GM
m
/
r
=
m
v
2
/
r
2
.
D
v
=
2
G
M
/
r
v=\sqrt{2GM/r}
v
=
2
GM
/
r
so that total energy is zero at radius
r
r
r
.
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