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  1. 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 7.18 Ã 10 3  kg/m 3 . What fraction of the specimenâs apparent volume is solid?

2. A lighter-than-air spherical balloon and its load of passengers and ballast are floating stationary above the earth. Ballast is weight (of negligible volume) that can be dropped overboard to make the balloon rise. The radius of this balloon is 7.88 m. Assuming a constant value of 1.29 kg/m 3  for the density of air, determine how much weight must be dropped overboard to make the balloon rise 137 m in 26.0 s.

 


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