Answer:
F = 8.82 N
the force in N on the bottom plate of the tank due to the water is 8.82 N
Step-by-step 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