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Chapter 1: Q23DQ (page 390)

A ice cube floats in a glass of water. When the ice melts, will the water level in the glass rise, fall, or remain unchanged? Explain.

Short Answer

Expert verified

Since the extra volume is the same as the existing volume, the level of water will not change.

Step by step solution

01

Given

  1. The ice floats in a glass of water.
  2. The ice melts.
02

Principles and ideas:

a) The buoyant force is a force that is applied to a body upwards when it is immersed in the water. Archimedes鈥� principle states that the buoyant force on a body is equal to the object's weight in fluid.

B=g脳pfluid脳Vdisplaced

b) The density is defined as mass per volume and can be expressed as,

p=mv

03

Information that is required

We have to tell that after the ice melts will the level of water rise, fall, or remain the same.

04

Solution

According to Archimedes' principle, the floating object displaces some liquid; thus, when the ice melts, there'll be no change in the water level, since the melted ice will take up exactly the same amount of space as the floating substance did before.

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