A stone is dropped from from rest at the top of a mine shaft. It takes 95 seconds for the stone to fall to the bottom of the mine shaft. How deep is the mine shaft? The acceleration of gravity is 9.8 m/s^2. Answer in units of m

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LittleFox LittleFox

14-11-2016
Physics

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A stone is dropped from from rest at the top of a mine shaft. It takes 95 seconds for the stone to fall to the bottom of the mine shaft. How deep is the mine shaft? The acceleration of gravity is 9.8 m/s^2. Answer in units of m

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AL2006 AL2006 · Answer 1 · 2016-11-15T01:03:17+01:00

Distance of fall from rest,
without air resistance = (1/2) (gravity) (time)²

   = (1/2) (9.8 m/s²) (95 sec)²

   = (4.9 m/s²) (9,025 sec²)

   = 44,222.5 meters .

The depth of the mine shaft is five times the height of Mt. Everest !