CP Water stands at a depth H in a large, open tank whose

Chapter 12, Problem 89P

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QUESTION:

Water stands at a depth  in a large, open tank whose side walls are vertical (Fig. P12.89). A hole is made in one of the walls at a depth  below the water surface.

(a) At what distance  from the foot of the wall does the emerging stream strike the floor?

(b) How far above the bottom of the tank could a second hole be cut so that the stream emerging from it could have the same range as for the first hole?

Equation Transcription:

Text Transcription:

Questions & Answers

QUESTION:

Water stands at a depth  in a large, open tank whose side walls are vertical (Fig. P12.89). A hole is made in one of the walls at a depth  below the water surface.

(a) At what distance  from the foot of the wall does the emerging stream strike the floor?

(b) How far above the bottom of the tank could a second hole be cut so that the stream emerging from it could have the same range as for the first hole?

Equation Transcription:

Text Transcription:

ANSWER:

Solution 89P

Introduction

At first we have to calculate the range first and then we have to calculate the another height  from which the range will be same.  

Step 1

From the bernoulli's equation we can write that

In the given problem at the surface of the water we have

And

Near the hole we have

And

So from the above equation we get

 

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