The steel Eiffel Tower in Paris, 300m high, has a mass of 7200t. How much mass would an accurate steel model of this 30cm tower have?
Data: h1 (tower height) = 300 m; m1 (tower mass) = 7200 t (in SI m1 = 7.2 * 10 ^ 6 kg); h2 (exact model height) = 30 cm (in SI h2 = 0.3 m).
The height of the Eiffel Tower and its exact model have the ratio k = h1 / h2 = 300 / 0.3 = 1000/1, so their volumes are referred to as 10003/1, since each linear dimension has decreased 103 times.
The mass of the exact model is determined from the ratio: m1 / V1 = ρс = m2 / V2, whence m2 = m1 * V2 / V1 = m1 / 1000 = 7.2 * 10 ^ 6/10003 = 7.2 * 10 ^ -3 kg ( 7.2 g).
Answer: E) 7.2 g.
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