A 400 N woman is totally immersed in a water tank and displaces of water. What is her density in ?
To find the density of the woman, we need to first find the volume of the water she displaces.
The volume of water displaced by an object is equal to the volume of the object itself. This is known as Archimedes' principle.
Given that the woman displaces m^3 of water, we can use this information to find her density. Density is defined as mass divided by volume.
To find the mass, we can use the equation:
mass = weight / acceleration due to gravity
The weight of the woman is given as 400 N.
The acceleration due to gravity varies slightly depending on the location, but for simplicity, we can assume it to be 9.8 m/s^2.
So, the mass of the woman is:
mass = 400 N / 9.8 m/s^2
Finally, we can calculate the density by dividing the mass by the volume:
density = mass / volume
Let's plug in the values:
density = (400 N / 9.8 m/s^2) /
After performing the calculations, we'll get the density of the woman in .