Question

The SI units of mass density are kg/m3, but there are several other common units. One of the most commonly used units of mass density is gram per cubic centimeter, or g/cc. This is because pure water has a mass density of 1 g/cc. It turns out that 1 mL of liquid is equal to 1 cc of volume. So it is also possible to express the mass density of water as 1 g/mL. This makes water a useful tool since it is possible to use graduated cylinders to measure volumes. An object with a mass of 59.0 g displaces 827.5 ml of water when it is completely immersed. What is the buoyant force on the mass?

Answer 1

Answer:

Explanation:

Given

mass of object $m=59\ gm$

Volume displaced $V_d=827.5\ ml$

According to Archimedes' principle buoyant force equals to weight of volume displace by an object.

Therefore Buoyant force $F_b=\rho \times V_d\times g$

where $\rho =Density\ of\ water(1000\ kg/m^3)$

g=acceleration due to gravity

substituting values

$F_b=1000\times 0.8275\times 10^{-3}\times 9.8$

$F_b=8.109\ N$