A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is
h
p
=
215.0
km,
and it is moving with a speed of
v
p
=
8.450
km/s.
The gravitational constant
G
equals
6.67
×
10
−
11
m
3
⋅kg
−
1
⋅s
−
2
and the mass of Earth equals
5.972
×
10
24
kg.
When the satellite reaches its apogee, at its farthest point from the Earth, what is its height
h
a
above the ground?

For this problem, choose gravitational potential energy of the satellite to be
0
at an infinite distance from Earth.

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Two loudspeakers, 5.5 m apart and facing each other, play identical sounds of the same frequency. you stand halfway between them, where there is a maximum of sound intensity. moving from this point toward one of the speakers, you encounter a minimum of sound intensity when you have moved 0.33 m . assume the speed of sound is 340 m/s.part a) what is the frequency of the sound? part b) if the frequency is then increased while you remain 0.21 m from the center, what is the first frequency for which that location will be a maximum of sound intensity? express your answer to two significant figures and include the appropriate units.