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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?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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