Scelta multipla
Which of the following statements best explains why ice floats on water?
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19. Fluid Mechanics
Buoyancy & Buoyant Force
Scelta multipla
What is the maximum mass of cargo that the balloon can lift?
A
1,800 kg
B
1,000 kg
C
1,500 kg
D
1,200 kg
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Identify the forces acting on the balloon: the buoyant force, the gravitational force on the balloon, and the gravitational force on the cargo.
Use the principle of buoyancy, which states that the buoyant force is equal to the weight of the displaced fluid. For a balloon, this is the weight of the air displaced by the balloon.
Calculate the buoyant force using the formula: , where is the density of air, is the volume of the balloon, and is the acceleration due to gravity.
Determine the total weight that the balloon can lift, which is the difference between the buoyant force and the weight of the balloon itself: .
Calculate the maximum mass of cargo that can be lifted by dividing the lift weight by the acceleration due to gravity: .
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