1. A piece of metal weighs 50.0N in air, 36.0 N in water, and 41.0 N in an unknown liquid. Find the densities of the following: a. the metal b. the unknown liquid

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Chapter1: Units, Trigonometry. And Vectors
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PRACTICE A
Buoyant Force
1. A piece of metal weighs 50.0 N in air, 36.0 N in water, and 41.0 N in an
unknown liquid. Find the densities of the following:
a. the metal
b. the unknown liquid
2. A 2.8 kg rectangular air mattress is 2.00 m long, 0.500 m wide, and
0.100 m thick. What mass can it support in water before sinking?
3. A ferry boat is 4.0 m wide and 6.0 m long. When a truck pulls onto it, the
boat sinks 4.00 cm in the water. What is the weight of the truck?
4. An empty rubber balloon has a mass of 0.0120 kg. The balloon is filled
with helium at 0°C, 1 atm pressure, and a density of 0.179 kg/m. The
filled balloon has a radius of 0,500 m.
a. What is the magnitude of the buoyant force acting on the balloon?
(Hint: See Table 1 for the density of air.)
b. What is the magnitude of the net force acting on the balloon?
Transcribed Image Text:PRACTICE A Buoyant Force 1. A piece of metal weighs 50.0 N in air, 36.0 N in water, and 41.0 N in an unknown liquid. Find the densities of the following: a. the metal b. the unknown liquid 2. A 2.8 kg rectangular air mattress is 2.00 m long, 0.500 m wide, and 0.100 m thick. What mass can it support in water before sinking? 3. A ferry boat is 4.0 m wide and 6.0 m long. When a truck pulls onto it, the boat sinks 4.00 cm in the water. What is the weight of the truck? 4. An empty rubber balloon has a mass of 0.0120 kg. The balloon is filled with helium at 0°C, 1 atm pressure, and a density of 0.179 kg/m. The filled balloon has a radius of 0,500 m. a. What is the magnitude of the buoyant force acting on the balloon? (Hint: See Table 1 for the density of air.) b. What is the magnitude of the net force acting on the balloon?
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