A group of hikers hears an echo 2.50 s after shouting. If the temperature is 20.0°C, how far away is the mountain that reflected the sound wave?
Take velocity = 331m/s.then apply the formula.v'= v m/s+0.61m/s/C.u will get 331+0.61*20=343.then distance = v'.t÷2=343*2.50÷2=428.75 is the answer.
To find the distance to the mountain that reflected the sound wave, we need to know the speed of sound in air at the given temperature.
The speed of sound in air can be calculated using the formula:
v = 331.4 + 0.6T
Where v is the speed of sound in meters per second (m/s) and T is the temperature in degrees Celsius (°C).
In this case, the temperature is given as 20.0°C. Plugging this value into the formula, we get:
v = 331.4 + 0.6(20.0)
v = 331.4 + 12.0
v = 343.4 m/s
Now, we can use the speed of sound to calculate the distance to the mountain using the formula:
d = v * t
Where d is the distance in meters (m), v is the speed of sound in m/s, and t is the time in seconds (s).
In this case, the time is given as 2.50 s. Plugging in the values, we get:
d = 343.4 * 2.50
d = 858.5 meters
Therefore, the mountain that reflected the sound wave is approximately 858.5 meters away from the hikers.