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Why does the book fall on the floor before the paper does if dropped at the same time from the same height?
air resistance is everything, if both were dropped at the same time from the same height in a vacuum, they would accelerate equally, hitting the floor at the same time.
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acceleration (a) is given by:
a = force / mass
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force (down) is given by mass (kg) * acceleration due to gravity
regardless of the mass, the acceleration in a vacuum would be the same.
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Once air is introduced however, any motion would be resisted by the air, according to the equation: force (up) = (velocity squared * drag coefficient)
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so, net force available for acceleration once in motion, at a given velocity = force (down) - force (up)
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if you assume same drag coefficient for both, at any given velocity, lighter object will have less acceleration, leading to heavier object hitting the floor first
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notes:
terminal velocity is where force down = force up
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for same drag coefficient, more massive object will have greater terminal velocity.
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guess at drag coefficient for book / paper = 0.005
What else can I help you with?
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