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A stone is dropped along the centre of a...

A stone is dropped along the centre of a deep vertical mine shaft. Assume no air resistance but consider the earth's rotation. Will the stone continue along the centre of the shaft? If not, describe the motion.

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To solve the problem of whether a stone dropped in a vertical mine shaft will continue along the center of the shaft while considering the Earth's rotation, we can analyze the situation step by step. ### Step 1: Understand the scenario The stone is dropped from a height into a vertical mine shaft. We assume there is no air resistance acting on the stone. The Earth is rotating from west to east. ### Step 2: Consider the effect of Earth's rotation As the stone is dropped, it initially has the same tangential velocity as the point on the Earth's surface from which it was dropped. This means that when the stone is released, it has a horizontal velocity component due to the Earth's rotation. ...
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