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Mass, Density, Volume question?

A little aluminum boat (mass of 14.50 g) has a volume of 450.00 cm3. The boat is place in a small pool of water and carefully filled with pennies. If each penny has a mass of 2.50 g, how many pennies can be added to the boat before it sinks?

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  • 8 years ago
    Favorite Answer

    d = m/V = 29/900 g/cm^3

    Density of water = 1 g/cm^3 => (1 g/cm^3) (450 cm^3) = 450 g.

    Assume x pennies must be added before boat sinks:

    14.5 + 2.5x = 450 => x = About 174 pennies.

  • 8 years ago

    The boat can displace an equal volume of water = 450 cc i.e it can hold 450 g of mass.

    Mass of pennies = 450 - 14.5 g = 435.5g

    No. of pennies = 435.5/2.5 = 174 nos.

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