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A balloon is descending through still air at a constant speed of 1.88 m/s. The total weight of the balloon, including payload, is 10.8 kN. A constant upward buoyant force of 10.3 kN is exerted on the balloon. The air also exerts a drag force given by D = bv 2 , where V is the speed of the balloon and b is a constant. The crew drops 26.5 kg of ballast. What will be the eventual constant downward speed of the balloon?

A balloon is descending through still air at a constant speed of 1.88 m/s. The total weight of the balloon, including payload, is 10.8 kN. A constant upward buoyant force of 10.3 kN is exerted on the balloon. The air also exerts a drag force given by D = bv2, where V is the speed of the balloon and b is a constant. The crew drops 26.5 kg of ballast. What will be the eventual constant downward speed of the balloon?

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
235-1193_1.PNG
Round off to three significant figures,
b = 142 kg /m
235-1050_1.PNG
Therefore, the new terminal speed of the balloon is 1.30 m/s .

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