PHYSICS
JAMB 2022 - Question 10
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?
Choose the correct answers from the options given.
A:
B:
C:
D:
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.
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