balloon filled with 1 liter of water (1000 cm^3) in equilibrium in a container of water, the balloon is totally submerged in the water.
a. What is the mass of 1 liter of water?
b. What is the weight of the 1 liter of water?
need assitance in setting up problem and figuring out where to start. thanks
Mass of water= densitywater*volume
Weight of water=masswater*gravitationfieldconstant
where the gravitational field constant is 9.8 N/kg
Deez nuts
To find the mass of 1 liter of water, we can use the equation:
Mass of water = density of water * volume of water
The density of water is typically around 1 gram per cubic centimeter (g/cm^3) or 1000 kilograms per cubic meter (kg/m^3).
Since we are given the volume of water as 1 liter, which is equivalent to 1000 cubic centimeters (cm^3), we can substitute these values into the equation:
Mass of water = 1000 kg/m^3 * 1000 cm^3
Note that we need to convert the volume from cm^3 to m^3 by dividing it by 1,000,000 (since there are 1,000,000 cm^3 in 1 m^3).
Mass of water = 1000 kg/m^3 * (1000 cm^3 / 1,000,000)
Simplifying, we find:
Mass of water = 1 kg
Therefore, the mass of 1 liter of water is 1 kilogram.
Next, to find the weight of the 1 liter of water, we can use the equation:
Weight of water = mass of water * gravitational field constant
The gravitational field constant, denoted with the symbol "g", is approximately 9.8 newtons per kilogram (N/kg).
Plugging in the mass of water as 1 kilogram and the gravitational field constant as 9.8 N/kg, we get:
Weight of water = 1 kg * 9.8 N/kg
Therefore, the weight of the 1 liter of water is 9.8 newtons.