Question

A stone held just beneath the surface of a swimming pool is released and sinks to the bottom at a constant speed of $0.48 \mathrm{m} / \mathrm{s} .$ What is the apparent speed of the stone, as viewed from directly above by an observer who is in air?

Name: Problem 18, Chapter 26: Physics
Uploaded: 2021-09-21T19:54:25-08:00
Duration: 1 min 22 s
Channel: Suzanne W.
Description: A stone held just beneath the surface of a swimming pool is released and sinks to the bottom at a constant speed of 0.48 m / s . What is the apparent speed of the stone, as viewed from directly above by an observer who is in air?

   A stone held just beneath the surface of a swimming pool is released and sinks to the bottom at a constant speed of $0.48 \mathrm{m} / \mathrm{s} .$ What is the apparent speed of the stone, as viewed from directly above by an observer who is in air?

Physics

John D. Cutnell,… 11th Edition

Chapter 26, Problem 18

Instant Answer

Solved by Expert Suzanne W.

09/21/2021

Step 1

First, we need to consider the refraction of light as it passes from water to air. This is given by Snell's Law, which states that the ratio of the sine of the angle of incidence (in water) to the sine of the angle of refraction (in air) is equal to the ratio of Show more…

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A stone held just beneath the surface of a swimming pool is released and sinks to the bottom at a constant speed of $0.48 \mathrm{m} / \mathrm{s} .$ What is the apparent speed of the stone, as viewed from directly above by an observer who is in air?

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Key Concepts

Perceived Motion Through Refraction

Due to the change in apparent depth caused by refraction, the motion of an object at a constant speed in its medium may appear at a different speed to an observer in another medium. This concept explains how the scaling factors involved in apparent depth also affect the observed velocity of moving objects.

Apparent Depth

This concept describes the phenomenon where an object submerged in one medium (such as water) appears to be at a shallower depth when viewed from another medium (such as air) due to refraction. It is important in understanding how the observed position is different from the real position of an object within a refractive medium.

Snell's Law

Snell's Law governs how light refracts when it passes from one medium into another with a different refractive index. It quantifies the bending of light rays and underpins the apparent displacement seen when looking at objects submerged in water from above.

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