P15_064 - as exact). The actual volume oF the dinosaur is V...

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64. (a) When the model is suspended (in air) the reading is F g (its true weight, neglecting any buoyant efects caused by the air). When the model is submerged in water, the reading is lessened because oF the buoyant Force: F g F b . We denote the diference in readings as ∆ m .Thu s , ( F g ) ( F g F b )=∆ mg which leads to F b =∆ mg .S i n c e F b = ρ w gV m (the weight oF water displaced by the model) we obtain V m = m ρ w = 0 . 63776 kg 1000 kg / m 3 =6 . 3776 × 10 4 m
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Unformatted text preview: as exact). The actual volume oF the dinosaur is V dino = 20 3 V m = 5 . 1021 m 3 . (c) Using w = 1000 kg / m 3 , we nd = m dino V dino = m dino = ( 1000 kg / m 3 ) ( 5 . 1021 m 3 ) which yields 5 . 1 10 3 kg For the T. Rex mass. (d) We estimate the mass range For college students as 50 m 115 kg. Dividing these values into the previous result leads to ratios r in the range oF roughly 100 r 45....
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