You have a fish tank with a square 10 x 10 cm bottom surface. You fill it 9 cm deep with water. What is the force in N on the bottom plate of the tank due to the water (neglect atmospheric pressure)

F = 8.82 N

the force in N on the bottom plate of the tank due to the water is 8.82 N

Explanation:

Force F = mass * acceleration

F = ma

In the case of weight;

F = mg ... 1

Where;

m = mass

g = acceleration due to gravity

a = acceleration

Mass m = density * volume

m = dV ... 2

Volume = cross sectional area * height

V = Ah ... 3

Substituting equation 3 to 2;

m = dAh ... 4

Substituting equation 4 to 1;

F = dAhg ... 5

Given;

d = 1000 kg/m^3

A = 10cm * 10cm = 100cm^2 = 0.01 m^2

h = 9 cm = 0.09 m

g = 9.8 m/s^2

Substituting the given values into equation 5;

F = 1000*0.01*0.09*9.8 N

F = 8.82 N

the force in N on the bottom plate of the tank due to the water is 8.82 N