A requetball with a diameter of 5.6 cm and a mass of 42g is cut in half to make

Question

A requetball with a diameter of 5.6 cm and a mass of 42g is cut in half to make a boat for American pennies ma?

with a diameter of 5.6 cm and a mass of 42g is cut in half to make a boat for American pennies made after 1982. The mass and volume of an American penny made after 1982 are 2.5g and 0.36cm^3. How many pennies can be placed in the raquetball boat without sinking it?

Use Archimedes' principle with the given masses and volumes to find the maximum number of pennies that can be placded in the boat without it sinking.

Explanation / Answer

using archimeded principle, upward buyoncy force on half ball,

Fb = row x volume x g = 1000 kg /m^3 x (4 pi x 0.028^3 / 6) x g = 0.0460 g

max, weight it can carry is mg = 0.0460 g

0.0460g = (42/2   + n2.5) x 10^-3 g

n = 10 pennies

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