by how many newtons do you increase the weight of your car when you fill up your 11.5 gal gas tank with gasoline
a gallon is equal to 3.788 L and the density of gasoline is 737kg/m3
W = density * volume * g
V = 11.5 gallons is 43.56 liters
= 0.04356 m^3
W = 737*0.04356*9.8= ___ N
To determine the increase in weight of your car when filling up your gas tank, we need to calculate the mass of the gasoline first and then convert it to Newtons using the equation F = m x g, where F is the force (in Newtons), m is the mass (in kg), and g is the acceleration due to gravity (approximately 9.8 m/s²).
First, let's convert the volume of gasoline from gallons to liters:
11.5 gallons * 3.788 liters/gallon = 43.582 liters
Next, we can calculate the mass of the gasoline using the density of gasoline:
Mass = density * volume
Mass = 737 kg/m³ * 43.582 liters * (1 m³ / 1000 liters)
Note that we multiplied by (1 m³ / 1000 liters) to convert from liters to cubic meters.
Now, we can convert the mass to Newtons using the equation mentioned earlier:
Force = Mass * g
Force = Mass * 9.8 m/s²
After performing these calculations, you will have the increase in weight of your car when filling up the gas tank.
To determine the increase in weight of your car when filling up the gas tank, we need to calculate the weight of the gasoline in the tank.
First, let's convert the volume of the gas tank from gallons to liters:
11.5 gallons * 3.788 liters/gallon = 43.682 liters
Next, we can calculate the mass of the gasoline using its density and volume:
Mass of gasoline = Density of gasoline * Volume of gasoline
Mass of gasoline = 737 kg/m^3 * 43.682 liters
To convert liters to cubic meters, we divide by 1000:
Mass of gasoline = 737 kg/m^3 * (43.682 liters / 1000)
Now, we can calculate the weight of the gasoline using the acceleration due to gravity, which is approximately 9.8 m/s^2:
Weight of gasoline = Mass of gasoline * Acceleration due to gravity
Weight of gasoline = 737 kg/m^3 * (43.682 liters / 1000) * 9.8 m/s^2
Finally, we can determine the increase in weight of your car by the amount of gasoline added to the tank.