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

180 N

Step by Step Explanation :

Step 1 :

Given that the buoyant force of the boat is 260 N

and the boat's weight is 80 N

We have to find the maximum weight capacity of the boat so that it continues to float.

The boat would float when the total of the weight of  boat and the load it carries do not exceed the buoyant force.

Step 2 :

The weight capacity of the boat is therefore 260 N - 80 N = 180 N

Hence the boat can carry a weight of 180 N 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.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt