4. Explain the doppler effect. Be sure to talk about how the wave changes, the perceived change hear by a person that an emitted sound is moving towards, and the perceived change hear by a person that an emitted sound is moving away from.

5. Explain what the origin of all sounds is. What factors can affect the type of sound that comes off of an object?

6. Explain the process of superposition. Provide at least 3 examples of wave pulses that are undergoing superposition. Explain what the resulting pulse looks like and how you got to that answer.

4) The Doppler effect is the frequency change that occurs in a wave by the relative movement of the emitter and the observer

5) Sound originates from a repetitive movement of air molecules

6) The principle of stable superposition that if the medium complies with the elastic regime, the waves traveling in it can be added

Explanation:

4) The Doppler effect is the frequency change that occurs in a wave by the relative movement of the emitter and the observer. In the specific case of the fixed observer, each wave that is emitted travels at a constant speed, but as the emitter approaches the next wave lLa in less time, so the wave maxima are closer to each other

v = λ' f'

λ'=λ - Δλ = λ - vs / f

f' = v / λ' = v / (λ - vs / f) = v / (v / f - vs / f)

f ' = f v / (v-vs)

5) Sound originates from a repetitive movement of air molecules, this movement creates a longitudinal wave, which we call sound. It is characterized by the air volume module and its density

6) The principle of stable superposition that if the medium complies with the elastic regime, the waves traveling in it can be added

y total = y₁ + y₂

Let's see as an example two waves of the same amplitude that travel in the same direction, if this wave the maximums coincide they add up obtaining that the maximums are twice the amplitude

If the wave goes in the most directive but the maximum of one coincides with the minimum in the other, the sum gives zero,

The wave travels in the opposite direction, in this case the resulting wave in constant in time and we call it resonance