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Physics / Physics with MasteringPhysics 4 / Chapter 2 / Problem 111GP

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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Old Faithful Watching Old Faithful erupt, you notice that

Chapter 2, Problem 111GP

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QUESTION:

Problem 111GP

Old Faithful Watching Old Faithful erupt, you notice that it takes a time t for water to emerge from the base of the geyser and reach its maximum height. (a) What is the height of the geyser, and (b) what is the initial speed of the water? Evaluate your expressions for (c) the height and (d) the initial speed for a measured time of 1.65 s.

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QUESTION:

Problem 111GP

Old Faithful Watching Old Faithful erupt, you notice that it takes a time t for water to emerge from the base of the geyser and reach its maximum height. (a) What is the height of the geyser, and (b) what is the initial speed of the water? Evaluate your expressions for (c) the height and (d) the initial speed for a measured time of 1.65 s.

ANSWER:

a.)

Step 1 of 5

We have to find an expression for the height of the geyser from which water emerges from the base of the geyser and reaches a maximum height in time $t$ .

The expression for the height of the water can be found from using the equation of motion for a freely falling object under gravity.

$v={v}_{o}-g\ t$

Where,

$v=$ final velocity = 0 m/s

${v}_{o}=$ initial velocity

$g=$ acceleration due to gravity

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