Final answer:
To calculate the pressure exerted on the bottom of a gas tank, you can use the formula: pressure = force / area. The force can be calculated from the weight of the gasoline and the area can be calculated from the dimensions of the tank. By plugging in the given values into the formulas, the pressure can be determined.
Step-by-step explanation:
The pressure exerted on the bottom of a gas tank can be calculated using the formula for pressure (P) which is P = weight (W) divided by area (A). In this case, the weight of the gasoline is the product of its mass and gravitational acceleration (W = mg). Given the mass of gasoline is 50.0 kg and using Earth's gravity (approx. 9.8 m/s2), the weight is W = 50.0 kg × 9.8 m/s2. The area of the tank's bottom can be calculated by multiplying its length and width (A = 0.500 m × 0.900 m).
To find the pressure, divide the calculated weight by the calculated area. Substituting the known values will give the pressure in Pascals (Pa) exerted on the bottom of the tank by the gasoline when the tank is full.
The pressure exerted on the bottom of the gas tank can be calculated using the formula:
Pressure = Force / Area
The force exerted by the weight of the gasoline can be calculated using the formula:
Force = mass * gravity
Assuming the tank is rectangular, the area of the bottom of the tank can be calculated by multiplying its width and length. Using these formulas and the given values, you can calculate the pressure.
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