Archimedes supposedly was asked to determine whether a crown made for the king consisted of pure gold. According to legend, he solved this problem by weighing the crown first in the air and then in water as shown in Figure. Suppose the scale read 6.34 N when the crown was in the air and 5.74 N when it was in the water. What is the density of the crown (in g/cm)? (gold density is 19.3 g/cm) (Answer in 2 decimal places)

Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.111 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.100 × 10° kg/m³. weight: N

Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b.   (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cm

The density of a composite is 1.7 g/cm3. The density of an unknown fluid is 2.2 g/cm3. An object made of the composite will _____ in the unknown fluid.

To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 3.61 x 103 kg/m³. What fraction of the specimen's apparent volume is solid? Number Units

A metal bowl with a weight of 1.20 N is placed in a larger kitchen container filled with soybean oil. How much soybean oil must the bowl displace in order to float? For reference, the mass density of soybean oil is about 917 g/liter and its weight density is about 8.99 N/liter. Please give your answer in liters.

You put a marble on a balance and find it has a mass of 1.2 grams.  It is an irregular shape, so you need to do displacement to find its volume. You put it in a graduated cylinder with a starting volume of 30.0 mL of water. After you add the marble, the water rises to 31.5 mL.  What is the density? Group of answer choices 0.038 g/mL 1.3 g/mL 0.80 g/mL 1.8 g/mL