A baseball player uses a pitching machine to help him improve his batting average. he places the 54.6 kg machine on a frozen pon
d. the machine fires a 0.149 kg baseball horizontally at a speed of 42.6 m/s. what is the magnitude of the recoil velocity of the machine? answer in units of m/s.
Please see below as the answer is self-explanatory.
Explanation:
In order to have a destructive interference, the path difference between the sources of the sound, must be equal to an odd multiple of the semi-wavelength, as follows:
⇒ d = d₂ - d₁ = n*(λ/2)
The minimum posible value for this distance, is when n=1, as it can be seen here:
dmin = λ/2
In any traveling wave, there exists a fixed relationship between the wave speed, the frequency and the wavelength:
v = λ*f
Therefore, assuming that the speed of sound keeps constant, if the frequency is increased, in order to keep the right side of the expression above balanced, λ must be decreased.
As the smallest separation that produces destructive interference is directly proportional to the wavelength, this means that this separation will decrease if the cellists produced a note with a higher frequency.
Speed of source=51.6=s speed of observer=32.3=o original frequency=615=F speed of sound=343=S frequency hear by observer=f f={ (S+o) /(S+51.6) }/F f=585 Wavelength=5x 10^{5} m