Final answer:
The buoyant force on a scuba diver in sea water is calculated by multiplying the volume of water displaced by the diver, the density of sea water, and the acceleration due to gravity.
Step-by-step explanation:
The student's question involves calculating the buoyant force acting on a scuba diver in sea water. The buoyant force is equal to the weight of the displaced fluid, which can be calculated by multiplying the volume of the displaced fluid with the density of the fluid (sea water) and the acceleration due to gravity (g).
Firstly, we calculate the weight of the displaced sea water (which has a typical density of approximately 1025 kg/m3). The volume of the displaced water is given as 62.8 L, which equals 0.0628 m3 (since 1 L = 0.001 m3). We then calculate the buoyant force using the formula:
Buoyant Force (FB) = Density of sea water (ρ) × Volume displaced (V) × Acceleration due to gravity (g)
FB = 1025 kg/m3 × 0.0628 m3 × 9.8 m/s2
Upon calculation, we get the buoyant force acting on the scuba diver.