I need a complete list all the doppler effect equations for a beginner physics class. Here is a sample questions so you know the level

Question: Two trains on separate tracks move toward one another. Train #1 has a speed of 130 km/hr and train #2 a speed of 90km/hr. Train 2 blows its horn, emitting a frequency of 500 Hz. What frequency is heard by the engineer on train #1?

If you also want to answer/explain the question given that would be helpful.

Mostly though I need a complete list of equations for this level of doppler effect problems. Thanks!

In your question, you have a moving source, and a moving observer (receiver). See this link, and the formula in the "general" section.

http://en.wikipedia.org/wiki/Doppler_effect

Consider an antenna transmitting at 900 MHz. The receiver is traveling at a speed of 40 km/h. Calculate its Doppler shift.

Sure! The Doppler effect is the change in frequency or wavelength of a wave as observed by an observer in motion relative to the source of the wave. The equations used to calculate the Doppler effect depend on whether the source of the wave is moving towards or away from the observer. Here are the equations commonly used in beginner physics classes:

1. Doppler Effect Equation for Sound:
- Moving Source (source approaching the observer):
- f' = (v + v_s) / (v + v_o) * f
- Moving Observer (observer approaching the source):
- f' = (v + v_o) / (v + v_s) * f
- Combined (both source and observer approaching each other):
- f' = (v + v_s) / (v + v_o) * f

In these equations, f is the frequency of the sound wave as emitted by the source, f' is the frequency observed by the observer, v is the speed of sound in the medium, v_s is the velocity of the source relative to the medium, and v_o is the velocity of the observer relative to the medium.

2. Doppler Effect Equation for Light:
- Moving Source or Observer (considering relativistic effects):
- Δλ / λ = v / c

In this equation, Δλ is the change in wavelength observed by the observer, λ is the original wavelength of the light emitted by the source, v is the relative velocity between the source and observer, and c is the speed of light.

Now let's solve the sample question you provided:

Question: Two trains on separate tracks move toward one another. Train #1 has a speed of 130 km/hr, and train #2 has a speed of 90 km/hr. Train 2 blows its horn, emitting a frequency of 500 Hz. What frequency is heard by the engineer on train #1?

We can use the Doppler effect equation for sound when the source is moving. Since the trains are moving towards each other, train #2 is the source, and train #1 is the observer. Using the equation:

f' = (v + v_s) / (v + v_o) * f

where f = 500 Hz, v = speed of sound in the medium (which is typically given), v_s = velocity of the source (90 km/hr), and v_o = velocity of the observer (130 km/hr).

Plugging in the values:

f' = (v + v_s) / (v + v_o) * f
f' = (v + 90) / (v + 130) * 500

You can now solve for f' by substituting the appropriate values. Remember to convert the velocities from km/hr to m/s if necessary.

I hope this helps! Let me know if you have any more questions.