Question

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

Short answer

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

Step-by-step solution

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.

 Given the data

The height of the column ish =46m.

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

The pressure required is calculated as;

P = ρ ×g ×h

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

Substitute the values in the above relation.

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

= 4.50× 10⁵ N/m²

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