When researchers find a reasonably complete fossil of a dinosaur, they can deter

Question

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 soulpted from plastic and based on the dimensions of the fossil bones. The scale of the model is 1'25; that is, lengths are 1/25 actual length, areas are (/252 actual areas, and volumes are (125) actual volumes. First, the model is suspended from one arm of a balance and weights are added to the other arm until equilibeium is reached. Then the model is fully submerged in water and enough eights are remo ed from the second arm to eestablish equilibrium he Qure For a model of a particular T. rex ross 568 ? ha tu be len? ved to i eest li euulibrium. hat was he volume ur d the model and b the ual T. rex ? c f he density of T. re was approximately the density f watet, what was its mass? (a) Number (b) Number (c) NumberUiits Units

Explanation / Answer

(a)

Given that,

weight of displaced water = 568 g

volume of displaced water = 568 cm^3

According to Archimedes' principle,

volume of the displaced water = volume of the model

so, volume of the model = 568 cm^3

(b)

Volume of T.rex,

V = 568 / (1 / 25)^3

V = 88.75*10^5 cm^3

(c)

If the density of T. rex is the same as that of water,

mass of T. rex = 88.75*10^5 g

m = 8875 kg

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