Final answer:
The pressure exerted on the bottom of the gas tank is approximately 1058.85 N/m².
Step-by-step explanation:
To find the pressure exerted on the bottom of the gas tank, we need to divide the weight of the gasoline by the area of the tank's bottom.
The weight of the gasoline can be calculated using its mass and the acceleration due to gravity.
The area of the tank's bottom can be found by multiplying its length and width.
Let's start by calculating the weight of the gasoline:
Weight = mass x acceleration due to gravity
Weight = 53.7 kg x 9.8 m/s²
Weight = 525.66 N
Now let's calculate the area of the tank's bottom:
Area = length x width
Area = 0.854 m x 0.581 m
Area = 0.496174 m²
Finally, we can find the pressure exerted on the bottom of the tank:
Pressure = Weight / Area
Pressure = 525.66 N / 0.496174 m²
Pressure ≈ 1058.85 N/m²