Respuesta :

soooobored
Draw a freebody diagram, it will explain it really well

the boat is floating on top of the water, which means that the net acceleration in the y direction must be zero

the boat is not sinking (dominant downwards acceleration/force)
the boat is not flying (dominant upward acceleration/force)

that measn
[tex]F_{net_y} =0[/tex]

now, if you drew the FBD, you only have 2 forces acting on the boat.
the upward bouyancy force on the boat and the downward force due to weight

[tex]F_{net_y}= F_{bouyancy} - F_{weight}[/tex]

since the net force is equal to zero

[tex]F_{bouyancy} - F_{weight} = 0[/tex]

and thus

[tex]F_{bouyancy} = F_{weight}[/tex]

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