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

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

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hope this