A surface receiving sound is moved from its original position to a position three times farther away from the source of the soun
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To solve this problem we will apply the theorem given in the conservation of energy, by which we have that it is conserved and that in terms of potential and kinetic energy, in their initial moment they must be equal to the final potential and kinetic energy. This is,
Replacing the 5100MJ for satellite as initial potential energy, 4200MJ for initial kinetic energy and 5700MJ for final potential energy we have that
Therefore the final kinetic energy is 3600MJ
To solve this problem we will apply the concepts related to the Doppler effect. According to this concept, it is understood as the increase or decrease of the frequency of a sound wave when the source that produces it and the person who captures it move away from each other or approach each other. Mathematically this can be described as
Here,
= Original frequency
= Velocity of the observer
= Velocity of the speed
Our values are,
Using the previous equation,
Rearrange to find the velocity of the observer
Replacing we have that
Therefore the velocity of the observer is 16.2m/s