Given:
• Volume of boat = 8.71 x 10⁶ cm³
,• Volume of water = 3.8 m³
Let's find the magnitude of the buoyant force acting on the boat.
To find the magnitude of the buoyant force acting on the boat, apply the formula:
Buoyant force = Volume dispersed x density of liquid x acceleration due to gravity
[tex]F=v_d*\rho_{liquid}*g[/tex]Where:
voulme dispersed = 3.8 m³
density of liquid = density of water = 1000 kg/m³
acceleration due to gravity = 9.8 m/s²
Thus, we have:
[tex]\begin{gathered} F=3.8*1000*9.8 \\ \\ F=37240\text{ N} \end{gathered}[/tex]Therefore, the magnitude of the buoyant force is 37240 N.
ANSWER:
37240 N
