Two homogeneous plexiglass balls and cork have the same volume. Determine the ratio of the masses of these balls.
September 6, 2021 | education
| Two homogeneous plexiglass balls and cork have the same volume. Determine the ratio of the masses of these balls. Plexiglas density Po = 1.2 g / cm3, cork density Pp = 240 kg / m3
Let us express the density of plexiglass in the same units as the density of the cork:
Po = 1.2 g / cm3 = 0.0012 kg / cm3 * 1,000,000 cm3 / m3 = 1200 kg / m3.
The volumes of both balls are the same, we denote them by V.
Masses of balls made of plexiglass and cork:
Mo = VPo;
Mп = VPп.
The ratio of the mass of the plexiglass ball to the mass of the cork ball:
Mo / Mp = VPo / VPp = Po / Pp = (1200 kg / m3) / (240 kg / m3) = 5.
Answer: The mass of the plexiglass ball is 5 times the mass of the cork ball.
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