A183 lb man sits in the middle of a 94 lb, 14 ft long boat. the boat’s prow touches the pier, but the boat isn’t tied to it. the man stands up and walks towards the pier. assume there is negligible resistance between the boat and water, and that the boat’s center of mass is in the middle of the boat. by the time he reaches the boat’s prow, what is the distance between the prow and the pier?

d = 9.25 ft

Explanation:

As we know that there is no frictional force as well as no other resistive external force on boat + man system

So here the center of mass of the system of boat + man will remain at same position

So we have

so we will have

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

come closer and become far apart and become steam/gas