A person stranded on a raft in the ocean Bobs up and down on ocean waves every three seconds. The unlucky person estimates that they rise and fall a total of about 6 meters. What is the amplitude of the bobbing of the raft?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A person stranded on a raft in the ocean Bobs up and down on ocean waves every three seconds. The unlucky person estimates that they rise and fall a total of about 6 meters. What is the amplitude of the bobbing of the raft?

**Wave Amplitude Problem**

**Question:**

11. A person stranded on a raft in the ocean bobs up and down on ocean waves every 3 seconds. The unlucky person estimates that they rise and fall a total of about 6 meters. What is the amplitude of the bobbing of the raft?

- A. 6 m
- B. 2 m
- C. 3 m
- D. 18 m

**Explanation:**

When considering wave motion, the amplitude is the measure from the resting position (equilibrium) to the peak of the wave. In this context, the total rise and fall of 6 meters represents the distance from the trough (lowest point) to the crest (highest point) of the wave.

Since the total motion is 6 meters, the amplitude (which is half the total distance) would be:

\[ \text{Amplitude} = \frac{\text{Total Distance}}{2} \]

\[ \text{Amplitude} = \frac{6 \text{ m}}{2} = 3 \text{ m} \]

Therefore, the correct answer is:

- C. 3 m
Transcribed Image Text:**Wave Amplitude Problem** **Question:** 11. A person stranded on a raft in the ocean bobs up and down on ocean waves every 3 seconds. The unlucky person estimates that they rise and fall a total of about 6 meters. What is the amplitude of the bobbing of the raft? - A. 6 m - B. 2 m - C. 3 m - D. 18 m **Explanation:** When considering wave motion, the amplitude is the measure from the resting position (equilibrium) to the peak of the wave. In this context, the total rise and fall of 6 meters represents the distance from the trough (lowest point) to the crest (highest point) of the wave. Since the total motion is 6 meters, the amplitude (which is half the total distance) would be: \[ \text{Amplitude} = \frac{\text{Total Distance}}{2} \] \[ \text{Amplitude} = \frac{6 \text{ m}}{2} = 3 \text{ m} \] Therefore, the correct answer is: - C. 3 m
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