To determine how many pennies can be added to the aluminum boat, we first need to calculate the total weight the boat can support without sinking. Given that the boat's mass is 14.5 g and it has a volume of 450 cm³, it can displace 450 g of water (since the density of water is 1 g/cm³). If each penny has a mass of 2.5 g, we can subtract the boat's mass from 450 g, which leaves us with 435.5 g of additional weight. Dividing this by the mass of each penny (2.5 g), we find that the boat can hold approximately 174 pennies (435.5 g ÷ 2.5 g/penny = 174.2).
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