Physics 2022 JAMB Past Questions - Question 10: The thrust due to hydrostatic pressure alone on the bottom of a fish tank which is 60cm x 40cm when the depth of water is 30cm is?

Correct Answer

C

Explanation

The thrust due to hydrostatic pressure can be calculated using the formula:

Thrust = Pressure × Area

First, we need to find the pressure at the given depth. The pressure due to a fluid at a certain depth is given by the formula:

Pressure = Density × g × Depth

Where:
Density of water (ρ) = 1000 kg/m^3
Acceleration due to gravity (g) = 9.81 m/s^2
Depth (h) = 30 cm = 0.3 m

So, Pressure = 1000 kg/m^3 × 9.81 m/s^2 × 0.3 m = 2943 N/m^2

Now, we can calculate the thrust:

Area = Length × Width = 0.6 m × 0.4 m = 0.24 m^2

Thrust = 2943 N/m^2 × 0.24 m^2 = 706.32 N

Therefore, the thrust due to hydrostatic pressure alone on the bottom of the fish tank is 706.32 Newtons.