Ice floats in water with about nine tenths of its volume submerged. What is the fractional volume submerged for an ice berg floating on a fresh water lake of a (hypothetical) planet whose gravity is ten times that of the earth?

Explanation

To solve the problem of determining the fractional volume submerged for an iceberg floating on a fresh water lake on a hypothetical planet with gravity ten times that of Earth, we can follow these steps:

### Step 1: Understand the Principle of Buoyancy
The principle of buoyancy states that an object will float in a fluid when the weight of the fluid displaced by the object is equal to the weight of the object itself. This is described by Archimedes' principle.

### Step 2: Recognize the Fractional Volume Submerged
On Earth, ice floats with about 90% of its volume submerged in water. This means that the density of ice is less than that of water, allowing it to float. The fractional volume submerged (V_submerged/V_total) for ice on Earth is approximately 0.9.

...