Imagine that a tank is filled with water. The height of the liquid column is 7 meters and the area is 1.5 square meters (m2). What's the force of gravity acting on the column of water?

A. 68,600 N
B. 102,900 N
C. 110,700 N
D. 73,500 N

Respuesta :

Answer:

B. 102,900 N

I remember this question from one of my, test. Really hope this helps..

Answer:

Force of gravity, F = 102,900 N

Explanation:

It is given that,

Height of the liquid column, h = 7 m

Area of tank, A = 1.5 m²      

We have to find the force of gravity acting on the column of water. Force of gravity is given by :

W = m g .............(1)

Where

m is the mass of an object

g is acceleration due to gravity

Firstly calculating the mass of the tank. It can be calculated suing the definition of density. We know that the density(d) of water is 1 kg/liter

Mass, m = d × V

V = volume = area × height =  1.5 m² × 7 m = 10.5 m³ or 10500 liter

So, m = 1 kg/liter × 10500 liter = 10,500 kg

Equation (1) becomes : W = 10,500 kg × 9.8 m/s²

W = 102,900 N

So, the force of gravity acting on the column of water is 102,900 N. Hence, the correct option is (b).