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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Solved: You drill a small hole in the side of a vertical

Chapter 12, Problem 71P

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QUESTION:

Problem 71P

You drill a small hole in the side of a vertical cylindrical water tank that is standing on the ground with its top open to the air. (a) If the water level has a height H, at what height above the base should you drill the hole for the water to reach its greatest distance from the base of the cylinder when it hits the ground? (b) What is the greatest distance the water will reach?

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QUESTION:

Problem 71P

You drill a small hole in the side of a vertical cylindrical water tank that is standing on the ground with its top open to the air. (a) If the water level has a height H, at what height above the base should you drill the hole for the water to reach its greatest distance from the base of the cylinder when it hits the ground? (b) What is the greatest distance the water will reach?

ANSWER:

Solution 71P

Let us have a look at the following figure to understand the situation.

As shown in the figure, let the hole be below a depth of  from the water level. So, its height above the base of the cylinder will be (H-y).

Let  be the time required by the water to hit the ground.

Therefore, from

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