An Ice Cube Buoyant Force Calculation
Calculating the Buoyant Force on an Ice Cube
An ice cube measuring 2.0 cm on each side is placed in a glass of water. The density of the ice cube is 0.917 g/cm3. We need to determine the buoyant force acting on the ice cube in water.
Step 1: Determine the Volume of the Ice Cube
The volume of a cube can be calculated using the formula: Volume of a cube = (Side length)3. Given that the side length of the ice cube is 2.0 cm, we can calculate the volume:
Volume of the ice cube = (2.0 cm)3 = 8.0 cm3
Step 2: Calculate the Weight of the Fluid Displaced
The weight of the fluid displaced can be calculated using the formula: Weight of the fluid displaced = Density of the fluid × Volume of the fluid displaced × Acceleration due to gravity.
For water, the density is approximately 1 g/cm3. Substituting the values into the formula, we get:
Weight of the fluid displaced = 1 g/cm3 × 8.0 cm3 × 9.8 m/s2
Step 3: Calculate the Buoyant Force
Now, we can find the buoyant force by using the formula: Buoyant force (FB) = Weight of the fluid displaced. Substituting the calculated value, we get:
FB = Weight of the fluid displaced ≈ 78.4 N
Therefore, the buoyant force acting on the ice cube is approximately 78.4 N.
What is the buoyant force on the ice cube? The buoyant force on the ice cube is approximately 78.4 N.