Imagine that we drill a hole through the earth along a diameter and completely evacuate it (so there is no air resistance). We then drop a pouch down the hole. It can be shown that the force of gravity while inside the earth is equal to: MEM G R How long will it take for the pouch to reach the other side? (Give your answer in s.) F(r) = r Hint: Relate the equation given to Hooke's law: F=-kx. This gives an 'effective spring constant!' G = 6.67x10-11 Nm²/s². ME = 5.98 x 1024 kg. RE = 6.37 x 106 m
Imagine that we drill a hole through the earth along a diameter and completely evacuate it (so there is no air resistance). We then drop a pouch down the hole. It can be shown that the force of gravity while inside the earth is equal to: MEM G R How long will it take for the pouch to reach the other side? (Give your answer in s.) F(r) = r Hint: Relate the equation given to Hooke's law: F=-kx. This gives an 'effective spring constant!' G = 6.67x10-11 Nm²/s². ME = 5.98 x 1024 kg. RE = 6.37 x 106 m
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Transcribed Image Text:Imagine that we drill a hole through the earth along a diameter and completely evacuate it (so there is no air resistance). We then drop a pouch down the
hole.
It can be shown that the force of gravity while inside the earth is equal to:
F(r)
MEM
= -G -r
₂3
How long will it take for the pouch to reach the other side? (Give your answer in s.)
Hint: Relate the equation given to Hooke's law: F=-kx. This gives an 'effective spring constant.
G = 6.67x10-11 Nm²/s².
ME = 5.98 x 1024 kg.
RE = 6.37 x 106 m
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