Matt built a boat with a mass of 320g. when he tried it out, he found that it displaced 260g of water. did the boat sink or float? explain

When we put an object inside the water then the submerged part of the object will displace water.

this weight of displaced water is known as buoyancy force on the object

Now as we know the principle of flotation if buoyancy force due to fluid on the object is more than weight then object will easily float

So here we can say that

now here we know that buoyancy force is the weight of liquid which is displaced and that weight must be more than weight of object for flotation

So here we can say

So here we know that mass of object is 320 g

mass of liquid displaced 260 g

here

mass of liquid displaced < mass of object

So it will not float and it will sink

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

i believe the answer is a