Calculating Apparent Mass of an Object: A Walk-through of Physics Problem-solvin

Question

Calculating Apparent Mass of an Object: A Walk-through of Physics Problem-solving Strategy On a hot summer day, you happen to notice that ice in a glass of lemonade floats on top while ice in a margarita sinks to the bottom. This is because ice (Pice-0.9167 g/mL) is less dense than water (pw 1.00 g/mL), but denser than ethanol (pe = 0.789 g/mL). Let's "repeat" the Archimedes' Principle experiment using an ice cube with 1 mL volume. g/mL) is less dense than water (pw- 1.00 1. Identify the given information. a. b. C. d. Since ice floats on water, only 90% of the ice cube is submerged. a) what is the volume of ice that is underwater? b) What is the mass of the displaced fluid? c) What is the buoyant force of water on ice? d) What is the apparent mass of the ice cube in water? 2. (Reminder: mf=pwVice) (Reminder: Fb=myg) (Reminder: Mw_M.g-Fb) b. C. d. (Reminder: M- d.

Explanation / Answer

2) a) Volume of ice under water = 0.90 mL

     b) mass of displaced fluid = 0.90 * 1 = 0.90 gm

     c) buyoant force of water on ice = 0.90/1000 * 9.8   = 8.82 * 10-3 N

     d) apparent mass of ice cube in water = (8.9836 * 10-3 - 8.82 * 10-3)/9.8

                                                                  = 0.0167 gm

3)     apparent mass of ice cube in ethanol = (8.9836 * 10-3 - 6.9589 * 10-3)/9.8

                                                                    = 0.2066 gm

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