When researchers find a reasonablycomplete fossil of a dinosaur,they can determine the massand weight of the living dinosaurwith a scale model sculpted fromplastic and based on the dimensionsof the fossil bones. The scale of themodel is 1/20; that is, lengths are 1/20actual length, areas are (1/20)2 actualareas, and volumes are (1/20)3 actualvolumes. First, the model is suspended from one arm of a balanceand weights are added to the other arm until equilibrium isreached. Then the model is fully submerged in water and enoughweights are removed from the second arm to reestablish equilibrium. For a model of a particular T. rex fossil, 637.76 ghad to be removed to reestablish equilibrium.What was the volumeof (a) the model and (b) the actual T. rex? (c) If the density ofT. rex was approximately the density of water, what was its mass?
When researchers find a reasonably
complete fossil of a dinosaur,
they can determine the mass
and weight of the living dinosaur
with a scale model sculpted from
plastic and based on the dimensions
of the fossil bones. The scale of the
model is 1/20; that is, lengths are 1/20
actual length, areas are (1/20)2 actual
areas, and volumes are (1/20)3 actual
volumes. First, the model is suspended from one arm of a balance
and weights are added to the other arm until equilibrium is
reached. Then the model is fully submerged in water and enough
weights are removed from the second arm to reestablish equilibrium
. For a model of a particular T. rex fossil, 637.76 g
had to be removed to reestablish equilibrium.What was the volume
of (a) the model and (b) the actual T. rex? (c) If the density of
T. rex was approximately the density of water, what was its mass?
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