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1. A 75.0-kg box is falling with a constant velocity of -25.0 m/s. What

is the force of air resistance?

1 Answer

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Treating the box as a particle, there are two forces acting on it in opposite directions: the box's weight mg pulling it downward and the resistive force of the air pointing upward.

The box is falling at a constant speed, so by Newton's second law we have

mg - r = 0

where mg = (75.0 kg) (9.80 m/s²) = 735 N is the weight of the box and r is the magnitude of air resistance. So we have

r = mg = 735 N

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