Doppler shift of an approaching source with interference problem

AI Thread Summary
The problem involves calculating the frequency heard by a police car driver from a 300 Hz siren as the car approaches a warehouse at 30 m/s. Using the Doppler shift formula for an approaching source, the frequency at the warehouse is calculated to be 328.75 Hz. The discussion highlights the need to treat the warehouse as a stationary source reflecting the sound waves. The driver then perceives these reflected waves while moving towards the warehouse. The solution was confirmed to be correct after further attempts.
Solidearth
Messages
5
Reaction score
0

Homework Statement



P15. The police car with its 300 Hz siren is moving toward a warehouse at 30 m/s, intending to crash through the door. What frequency does the driver of the police car hear reflected from the warehouse? (5 marks)

Homework Equations


doppler shift for an approaching source. (f+) = fo / [1-vs/v]


The Attempt at a Solution



the doppler shift of the siren at the door is (300Hz)/ (1- [(30m/s)/(343m/s)]) =328.75Hz

now assume that the warehouse/ warehouse door reflects 100% of the incident waves.

I really have no idea where to go from here.
 
Physics news on Phys.org
For reflected waves, treat source at rest and the observer is moving towards the source with the velocity equal to the velocity of the police car.
 
The warehouse reflects each wave that hits it, and becomes a source.
The car is driving through the reflected waves.
 
hey guys thanks for the reply I tried it and it worked.
cheers
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...

Similar threads

Back
Top