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Buoyancy. Archimedes' Principle

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9.5Buoyancy. Archimedes' Principle

Buoyancy. Archimedes' Principle Revision Questions

1. What force is needed to keep a ball immersed in water if the ball's diameter is 21 cm? Take g = 10 m/s2, π = 22 / 7, ρwater = 1000 kg/m3 and the air density inside the ball as ρair = 1.3 kg/m3. Do not consider the material the ball is made (it is already included in the value of air density).

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  1. 48.45 N
  2. 48.51 N
  3. 0.63 N
  4. 0.81 N

Correct Answer: A

2. An object weight 17 N on the ground and 12 N when immersed in water. What is the volume of this object in cm3? Take ρwater = 1000 kg/m3 and g = 10 m/s2.

  1. 0.0005 cm3
  2. 0.5 cm3
  3. 500 cm3
  4. 1200 cm3

Correct Answer: C

3. A balloon weighs 10000 N when empty. Its volume when flying is 2000 m3. The balloon works with hot air (ρhot air = 0.8 kg/m3). What additional weight can it carry to stay stationary in air? Take ρcold air = 1.3 kg/m3 and g = 10 m/s2. Take the figure in the last solved example as a reference.

  1. 26 000 N
  2. 16 000 N
  3. 10 000 N
  4. 0 N

Correct Answer: D

(the balloon is already stationary in air)

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