Help me with this problem i do not get it?
A light wave can travel the earth to the moon in 1.3 s. the distance to the moon is 384,790 km. how long would it take a sound wave to travel the same distance at 343 m/s? state you answer in days. I got 2 days but i really think its wrong so please help
That is a stupid question, but the problem is apparently due to the teacher. Sound waves cannot reach the moon, at any speed. They require a fluid to go through. There is vacuum between the Earth and Moon.
If sound waves could reach the moon at that speed, the time required would be (384,790,000/343) = 1.12*10^6 s = 13 days
thank u drwls
To find out how long it would take a sound wave to travel the distance from Earth to the Moon, we can use the formula:
Time = Distance / Speed
Given:
Distance = 384,790 km
Speed of sound = 343 m/s
First, let's convert the speed of sound from meters per second to kilometers per second. Since there are 1,000 meters in a kilometer, we can divide the speed of sound by 1,000:
Speed of sound = 343 m/s / 1000 = 0.343 km/s
Next, we can calculate the time it would take for sound to travel the distance to the Moon:
Time = Distance / Speed = 384,790 km / 0.343 km/s
Dividing these values gives us the time in seconds:
Time = 1,122,908.52 seconds
To convert this to days, we need to divide the time in seconds by the number of seconds in a day. Since there are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute, we can calculate:
Time (days) = Time (seconds) / (24 * 60 * 60)
Now let's compute the final result:
Time (days) = 1,122,908.52 seconds / (24 * 60 * 60) seconds
Time (days) ≈ 12.97 days
Therefore, it would take approximately 12.97 days for a sound wave to travel the distance from Earth to the Moon at a speed of 343 m/s.