Question

question 223 of 228 a ball with a mass of 2000 g is floating on the surface of a pool of water. what is the minimum volume that the ball could have without sinking below the surface of the water? (note that water has a density of 1.00 g/cm³.) a. 9.8 cm³ b. 1000 cm³ c. 2 cm³ d. 2000 cm³

Explanation:

Step1: Apply Archimedes' principle

Buoyant force = Weight of displaced water = Weight of ball

Step2: Equate masses (since g cancels)

Mass of displaced water = Mass of ball = 2000 g

Step3: Calculate displaced water volume

Volume = Mass / Density = 2000 g / 1.00 g/cm³ = 2000 cm³

Step4: Minimum ball volume = displaced volume

Ball volume ≥ 2000 cm³

Answer:

D. 20000 cm³