1. Vadim bought his wife a "gold" bracelet from a guy on the street for $100. If he drops it in a beaker of water and the volume raises 400 cm³ and the mass is determined to be 0.5 kg, then is the jewelry gold? If it is not gold then what do you think it is made of?

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2. In liquid A, a body floats with 9/10th of its volume immersed, while in liquid B it floats with 3/5th of its volume immersed. Compare the densities of the liquids.

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3. What is the density of a 7 kg solid cylinder that is 10 cm tall with radius 5 cm.

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4. Your friend of mass 80 kg float in fresh water. What her approximate volume. ( Human density is about 1000 kg/m³⁾

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5. A small ferry boat is 4.00 m wide and 6.00 m long. When a loaded car pulls onto it, the boat sinks an additional 4.00 cm into the water. What is the weight of the car?

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6. A rectangular air mattress is 2.0 m long, 0.50 m wide, and 0.08 m thick. the mattress is fully submerged. What the mass of the mattress?

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7. Calculate the mass flow rate (in grams per second) of blood ( = 1.0 g/cm3 ) in an aorta with a cross-sectional area of 2.0 cm2 if the flow speed is 40 cm/s.

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8. An object weighing 300 N and the volume of 0.5 m³ in air is immersed in oil after being tied to a string connected to a balance. The scale now reads 275 N. Find the density of the oil.

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