A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of po is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same The new sphere has a radius of r > ro and a mass of m mo. The new sphere has a radius of r> ro and a density of ppo The new sphere has a mass of m > mo and a density of p po Submit Answer Tries 0/12
Solution
A floating object displaces an amount of water of the same mass. Assuming all objects float, the water will rise when the new object has higher mass.
1) Mass is unchanged = level unchanged. So, s (stays the same).
2) Size increased = mass increased = level rises. So, r
3) mass increased = level rises. So, r
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A solid- homogeneous sphere with a mass of mo- a radius of ro and a de.docx
1. A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of po is placed in a
container of water. Initially the sphere floats and the water level is marked on the side of the
container. What happens to the water level, when the original sphere is replaced with a new
sphere which has different physical parameters? Notation: r means the water level rises in the
container, f means falls, s means stays the same The new sphere has a radius of r > ro and a mass
of m mo. The new sphere has a radius of r> ro and a density of ppo The new sphere has a mass
of m > mo and a density of p po Submit Answer Tries 0/12
Solution
A floating object displaces an amount of water of the same mass. Assuming all objects float, the
water will rise when the new object has higher mass.
1) Mass is unchanged = level unchanged. So, s (stays the same).
2) Size increased = mass increased = level rises. So, r
3) mass increased = level rises. So, r
