If Superman is flying at mach 4, 1 km above the ground and yells "Hey! Finish your test!" from directly overhead, what does it sound like when you finally hear him? Superman travels slower than light and therefore you don't hear him until he is 4.1231 kilometers away.
Speed of Sound = 340 m/s
How do I even answer this?
I am uncertain of the question. The time it took for the sound to travel 1km is the time it took a mach4 plane to travel 4.1231km.
so, time to travel 1km=340m/s*t or t= 1/340 sec
velocity of superman= 4.1231km/(1/.340)=4.1231*.340 km/s=1.40km/s which in fact is about mach4.
So I don't know the question.
The question was what does it sound like when you hear his sentence?
But I have no idea how to answer it.
It sounds like "Hey! Finish your test!"
because when he made the noise he was not moving toward or away from you. He was directly over head and had at that instant no velocity component toward or away from you. Therefore no Doppler effect.
Oh! Okay thank you so so so much guys! :)
To answer this question, you need to calculate the time it takes for sound to travel from Superman to your location. Here's how you can do it step by step:
1. Convert Superman's speed from Mach to meters per second. Mach 4 means he is traveling at four times the speed of sound. Since the speed of sound is 340 m/s, Superman's speed would be 4 * 340 = 1360 m/s.
2. Calculate the time it takes for Superman's sound to reach you. To do this, divide the distance between Superman and you (4.1231 kilometers) by the speed of sound (340 m/s) using the formula: time = distance / speed.
distance = 4.1231 kilometers = 4123.1 meters
speed = 340 m/s
time = 4123.1 m / 340 m/s = 12.1274 seconds
So, it would take approximately 12.1274 seconds for you to hear Superman after he yells.
Now, as for what it would sound like when you finally hear him, it is important to consider Superman's speed. Since Superman is traveling towards you at a higher speed than the speed of sound, the sound waves he produces will "catch up" to you. As a result, it is likely that you will hear a sudden increase in volume as the sound waves reach you, similar to a sonic boom effect.