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Chapter 10: Q8P (page 260)

(I) Estimate the pressure needed to raise a column of water to the same height as a 46-m-tall pine tree.

Short Answer

Expert verified

The pressure needed to raise the water column to a height of 46m is 4.50 脳 105N/m2.

Step by step solution

01

Step-1: Understanding the pressure of a liquid

The pressure of a liquid does get affected by the variation in the density of the liquid and depth.

02

 Given the data

The height of the column ish =46m.

03

Step-3:-Calculation of the pressure needed to raise the water column

The pressure required is calculated as;

P = 蟻 脳g 脳h

Here 蟻 is the density of water and g is the acceleration due to gravity.

Substitute the values in the above relation.

P = ( 1脳 103 Kg/m3) 脳 (9.8 m/s2) 脳 (46m)

= 4.50脳 105 N/m2

Hence, the pressure required to raise the water is4.50脳 105 N/m2.

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