A boat as a buoyant force of 260 N and weight of 80N what is the maximum weight capacity that is allowed on the boat to allow it to continue to float

The maximum weight capacity will be less than 180 N

Step-by-step explanation:

According to the Archimedes principle, an object floats in the fluid if its buoyant force is greater than the weight of the object.

Here the buoyant force is 260 N so weight up to < 260, the boat will float.

Let the maximum weight capacity be x.

x + 80 < 260

or, x + 80 - 80 < 260 - 80

or, x < 180

So the maximum allowed weight will be less than 180 N.