In: Physics
A ship is using a chian to pull up its anchor in the ocean. The volume of the anchor is 2.4m^3, and the anchor is made of steel and has a density of 7800 kg/m^3. If the density of the ocean water is 1,000 kg/m^3, what is the change in weight on the anchor?
Original weight of the anchor is
W = dVg
= 7800 * 2.4 * 9.8
= 183456 N
Mass of water displaced by the anchor = density of water * volume of anchor
= 1000 * 2.4 = 2400 kg
Weight of the water displaced = 2400 * 9.8 = 23520 N
Now the weight of the anchor in water is, W' = 183456 N - 23520 N
= 159936 N
So, the change in weight of the anchor is = 183456 - 159936= 23520 N
This means the weight of the dispaced water is equal to the change in the wieght of the anchor.