Buoyancy and Water Density Factors

PhysicsBuoyancy and Archimedes' PrincipleMediumSTEM

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2 What effect does the temperature of the water have on the upthrust of the water on a ship?

3 How does the presence of salt in water affect the upthrust of the water on a ship?

4 What might happen to a ship that was loaded to the line in cold salt water (W) and then sailed into warm fresh water? Explain your answer.

This question includes visual content: The image shows a textbook page with several diagrams and photographs. 1) A free-body diagram of a person standing, showing vertical arrows for weight (down) and normal force (up). 2) A photo of an automatic weather station buoy floating in the ocean, paired with its force diagram showing weight and upthrust. 3) A close-up photograph of Plimsoll lines (loading marks) on the side of a red-painted ship hull. The marks include letters like TF (Tropical Fresh Water), F (Fresh Water), T (Tropical seawater), S (Summer seawater), W (Winter seawater), and WNA (Winter North Atlantic).

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Step by Step Written Solution

1
Step 1

In this exercise, we will explore how volume and upthrust change when a ship moves between different types of water. Let's look at questions two, three, and four from the textbook.

Floating Objects and Upthrust

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Step 2

Question two asks: what effect does the temperature of the water have on the upthrust of the water on a ship?

Question 2: Effect of Temperature

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Step 3

To answer this, we must remember that upthrust depends on fluid density. Warmer water is generally less dense than colder water because the molecules are more spread out.

$$F_{\text{up}} = \rho \cdot V \cdot g$$
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Step 4

For a ship with a constant weight, the upthrust must remain equal to that weight to stay afloat. However, because warmer water is less dense, the ship must displace a larger volume of it to maintain that same upthrust.

$$\downarrow \rho \implies \uparrow V_{\text{submerged}} \text{ (for same upthrust)}$$
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Step 5

So, temperature affects the density, which in turn affects how much of the ship is submerged. In warmer water, the ship sits lower.

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Step 6

Question three asks: how does the presence of salt in water affect the upthrust on a ship?

Question 3: Effect of Salt (Salinity)

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About This Question

Subject
Physics
Topic
Buoyancy and Archimedes' Principle
Difficulty
Medium
Exam
STEM
Question Type
Open Ended

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