Oil explorers set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 500-m-deep Lake Physics. It's known that Lake Physics is carved out of a granite basin. Explorers detect a weak echo 0.94 s after exploding dynamite at the lake surface. If it's really oil, how deep will they have to drill into the granite to reach it?

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Physics

10 October, 00:46

Oil explorers set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 500-m-deep Lake Physics. It's known that Lake Physics is carved out of a granite basin. Explorers detect a weak echo 0.94 s after exploding dynamite at the lake surface. If it's really oil, how deep will they have to drill into the granite to reach it?

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Marley Cooke · Answer 1

790 m

Explanation:

solution:

the echo time is calculated as:

T_echo=t_ (water down) + t_ (granite down) + t_ (granite up) + t_ (water up)

0.94=500 m/1480 m/s+d_granite/6000 m/s+d_granite/6000 m/s+500 m/1480

=790 m