three spheres have the same volume and all float in water. Spheres A, B, and C have masses of 25g, 30g, and 35g. Which sphere floats the highest.
The principle of floatation states that the mass of liquid displaced by a floating body is equal to the mass of the body.
Can you figure out the answer using the principle?
To determine which sphere floats the highest, we need to compare their densities. The density of an object is calculated by dividing its mass by its volume.
Step 1: Calculate the volume of the spheres
Since the spheres have the same volume, let's assume their volume is V.
Step 2: Calculate the density of each sphere
- Sphere A: Density of A = Mass of A / Volume = 25g / V
- Sphere B: Density of B = Mass of B / Volume = 30g / V
- Sphere C: Density of C = Mass of C / Volume = 35g / V
Step 3: Compare the densities
Since the spheres have the same volume, the sphere with the lowest density will float the highest in water because buoyancy depends on the density difference between the object and the liquid.
After comparing the densities of the spheres, we can see that Sphere A has the lowest density since its mass is 25g. Therefore, Sphere A will float the highest in the water.
Keep in mind that in real-life situations, other factors such as surface tension and shape can influence buoyancy as well. However, for this hypothetical scenario with identical spheres, density is the primary factor determining buoyancy.