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luda_lava [24]
2 years ago
7

The speed of sound through the ground is about 6.0 km/s while the speed of sound in air is 343 m/s. A very powerful explosion oc

curs some distance away and you feel the ground vibrate 60 seconds before you hear the sound of the explosion. How far away is the explosion?
Physics
1 answer:
balu736 [363]2 years ago
8 0

Answer:

21828 m

Explanation:

v_{ground} = speed of sound through ground = 6 km/s = 6000 m/s

v_{air} = speed of sound through air = 343 m/s

t = time taken for the vibrations to arrive

t' = time taken for sound to arrive = t + 60

d = distance of the point of explosion

time taken for the vibrations to arrive is given as

t = \frac{d}{v_{ground}}                            eq-1

time taken for the sound to arrive is given as

t' = \frac{d}{v_{air}}

t + 60 = \frac{d}{v_{air}}

using eq-1

\frac{d}{v_{ground}} + 60 = \frac{d}{v_{air}}

\frac{d}{6000} + 60 = \frac{d}{343}

d = 21828 m

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