Homework Help

Numerical problemThe density of sea water is 1.025 g/cc and that of iceberg 0.917 g/cc....

user profile pic

spsaroj | Student, Grade 10 | Honors

Posted May 31, 2012 at 12:12 PM via web

dislike 1 like

Numerical problem

The density of sea water is 1.025 g/cc and that of iceberg 0.917 g/cc. Find the percentage volume the iceberg inside the sea water.

1 Answer | Add Yours

user profile pic

thilina-g | College Teacher | (Level 1) Educator

Posted May 31, 2012 at 2:06 PM (Answer #1)

dislike 2 like

Let V be the total volume of ice and V' be the volume of ice submerged in water.

The volume of water displaced = V'

Bouyancy force exerted upwards is equal to the weight of iceberg.

`B = W`

`V ' xx 1.025 xx g = V xx 0.917 xx g`

Where g is the gravitational acceleration.

`(V')/V = 0.917/1.025`

The percentage of volume submerged is,

`(V')/V xx 100 = 0.917/1.025 xx 100 %`

`(V')/V xx 100 = 89.46 %`

 

Therefore, 89.46 % of iceberg is inside sea water.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes