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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?
2 Answers
- MechEng2030Lv 78 years agoFavorite 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.
- shibashisLv 58 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.