Answer:
[tex]f_{o}=595.98Hz[/tex]
Explanation:
Given data
Train 1 speed v₀=125 km/h =34.7222 m/s
Train 2 speed vs=94.0 km/h=26.1111 m/s
Speed of sound v=343 m/s
Train 2 frequency fs=500 Hz
To find
Frequency f₀ heard by engineer on train 1
Solution
We can use below formula to find the required frequency
[tex]f_{o}=f_{s}(\frac{v+v_{o}}{v-v_{s}} )\\f_{o}=(500Hz)(\frac{343m/s+34.722m/s}{343m/s-26.111m/s} ) \\f_{o}=595.98Hz[/tex]