Question

The density of ice is $9.2 \times 10^2 \, \text{kg/m}^3$. If a chunk displaces $10^{-2} \, \text{m}^3$, the buoyant force on the ice is most nearly:

• A. 0.1 N
• B. 10 N
• C. 100 N
• D. 1000 N

Hint:

Remember that the buoyant force is proportional to the density of the fluid, the volume displaced, and the gravitational acceleration.

Answer 1

The Correct Option is C

The buoyant force is given by the formula: \[ F_b = \rho \cdot V \cdot g \] where: $\rho = 9.2 \times 10^2 \, \text{kg/m}^3$ (density of ice), $V = 10^{-2} \, \text{m}^3$ (volume displaced), $g = 9.8 \, \text{m/s}^2$ (acceleration due to gravity). Substituting the values: \[ F_b = (9.2 \times 10^2) \cdot (10^{-2}) \cdot (9.8) \approx 100 \, \text{N} \]