2. a rectangular barge 7 m long and 2 m wide floats in fresh water. how much will the barge sink when loaded with 600 kg of sand? show all calculations leading to an answer.

What makes any object float ?
The object displaces an amount of water that has
the same weight as the floating object.

The heavier the object is, the more water it has to displace
in order to float.

The barge is originally floating, so we know that it must be displacing
its own weight in water.

Then somebody comes along and dumps another 600 kg onto it.
Now suddenly, the barge is heavier.  So in order to keep floating,
it has to displace some more water.

However much the extra 600 kg weighs, it has to displace 600 kg
of water.

We're really happy that the whole thing is happening in water, because
that makes the calculation easy ... 1 kg is the mass of 1 liter of water !
With the added load, the barge has to displace 600 more liters of water.

Well, there are 1,000 liters in 1 cubic meter ... 600 liters = 0.600 meter³ .
The barge has to settle a little lower in the water, just enough to displace
another 0.6 m³ of water.

As the barge groans and settles deeper in the water, how much new
volume of water does it displace ?

            Extra Volume  =  (length) x (width) x (extra distance it sinks) .

It needs to displace 0.6 m³ of extra volume.

                         0.6 m³ = ( 7 m ) x ( 2 m ) x (extra distance it sinks)

Divide each side
by (7m)x(2m):      0.6 m³ / (7m x 2m) = extra distance it sinks

                             Additional depth =  0.6 m³ / 14 m²

                                                         =  0.0429 meter

                                                         =    43 millimeters  (rounded)
Is that cool or what ? !

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

True will be your answer dude