PLEASE SHOW A STEP BY STEP SOLUTION, THANKS! How low the raft rides in the water

Question

PLEASE SHOW A STEP BY STEP SOLUTION, THANKS!

How low the raft rides in the water depends on the density of the raft. The same is true of the human body: Tat is less dense than muscle and bone, so those with a higher percentage of body fat float better. If the raft is placed in salt water, which has a density greater than fresh water, the value of h would: (Select all that apply.) increase because the raft must displace more water, increase because the saltwater displaced is heavier. decrease because less volume of salt water must be displaced to have its weight equal that of the raft. not change. decrease because each cubic meter of salt water displaced weighs more than fresh water. Use the worked example above to help you solve this problem. A raft is constructed of wood having a density of 6.00 x 10- kg/m^3. Its surface area is 5.71 m^2, and its volume is 0.65 m^2. When the raft is placed in fresh water as shown in the figure, to what depth h is the bottom of the raft submerged? Calculate how much of an iceberg is beneath the surface of the ocean, given that the density of Ice Is 917 kg/m3, and salt water has density 1,025 kg/m3.

Explanation / Answer

Practise problem:

Given: denisty of raft '' = 6*102 Kg/m3  ; surface area 'S' = 5.71 m2 ; volume 'V' = 0.65 m3

Now the density f fresh water is '0' = 1000 Kg/m3

So from the principle of floatation:

Weigth = Buoyant force

m*g = 0*S*h*g ; where 'h' is the height below the surface of water (volume submerged is used for buoyant force)

V**g = 0*S*h*g

or h = V*/(0*S) = 0.65*600/(1000*5.71) = 0.068 m

Exercise:

Let the surface area (S) of the iceberg remains uniform throughout it's mass, then it's total height being H and height submerged being h we have from Principle of floatation:

*S*H*g = 0*S*h*g ; where is the density of ice and 0 is the density of salt water

Hence h/H = /0

So the percentage of the ice submerged is = h/H*100 = /0*100 = (917/1025)*100 = 89.46 %

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.