Oil explorers often set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 520-m-deep Lake Physics. It's known that Lake Physics rests on top of solid granite. The speed of sound in water is 1480 m/s and the speed of sound in granite is 6000 m/s.   a. If an explosion is created at the surface of the lake, what time after the explosion do the explorers expect to hear an echo from the bottom of the lake in seconds?   b. In addition to the expected echo from the bottom of the lake, explorers also detect a faint echo 0.960 s after exploding the dynamite at the lake surface. If it's really oil, how deep will they have to drill through the granite to reach it in meters?

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Oil explorers often set off explosives to make loud sounds, then listen for the echoes from underground oil deposits. Geologists suspect that there is oil under 520-m-deep Lake Physics. It's known that Lake Physics rests on top of solid granite. The speed of sound in water is 1480 m/s and the speed of sound in granite is 6000 m/s.

 
a.
If an explosion is created at the surface of the lake, what time after the explosion do the explorers expect to hear an echo from the bottom of the lake in seconds?
 
b.
In addition to the expected echo from the bottom of the lake, explorers also detect a faint echo 0.960 s after exploding the dynamite at the lake surface. If it's really oil, how deep will they have to drill through the granite to reach it in meters?
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