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Will the same ship float higher in salt water than in freshwater? Explain your answer.

Short Answer

Expert verified
Yes, the ship will float higher in salt water than in freshwater because salt water is denser, providing greater buoyancy.

Step by step solution

01

Understanding the Principle of Buoyancy

Understand that an object floats by displacing a volume of water equal to its weight. The buoyant force on an object in water is equal to the weight of the water displaced by the object. This is known as Archimedes' principle.
02

Comparing Densities of Salt Water and Freshwater

Recognize that salt water is denser than freshwater due to the dissolved salts. The density of a liquid determines how much weight it can support before an object sinks.
03

Analyzing the Effect of Water Density on Buoyancy

Acknowledge that because salt water is denser, it provides a greater buoyant force on objects compared to freshwater. Therefore, for the ship to displace a weight of water equal to its own weight, it will displace a smaller volume of salt water than it would in freshwater.
04

Conclusion on Ship Floatation

Conclude that the ship will float higher in salt water than in freshwater because it needs to displace less volume of the denser salt water to equal its weight and be buoyed up.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Buoyancy
Buoyancy is the force that allows objects to float in a fluid. It's a concept that might seem magical, but it's based on solid scientific principles. Imagine you have an apple and you drop it into a bucket of water. The apple pushes the water aside, displacing a volume of water equal to the space the apple occupies. According to Archimedes' principle, the water pushes back with a force equal to the weight of the displaced water. This upward force is what we call buoyant force.

The reason ships stay afloat is that their overall density, including the air inside, is less than that of water. When a ship is placed in water, it sinks until the weight of the water it displaces is equal to its own weight. At this point, the downward force of gravity on the ship is balanced by the upward buoyant force, and the ship floats.
Density of Salt Water versus Freshwater
When we hear the word 'density', we should think of how tightly packed the molecules are within a substance. Freshwater has a density of approximately 1 gram per cubic centimeter. However, when we dissolve salt in water, the density increases because the salt molecules fill in the spaces between the water molecules. This means salt water has more mass in the same volume compared to freshwater, making it denser.

This difference in density affects buoyancy significantly. A denser liquid exerts a higher buoyant force, allowing objects to float more easily. For instance, if you've ever floated in the ocean, you may have noticed it's easier to stay afloat compared to a swimming pool, and that's all because of the salt in seawater.
Principle of Flotation
The principle of flotation is a bit like a balancing act. It states that a floating object displaces a volume of fluid that weighs the same as the object itself. The density of the fluid is a crucial factor here. If an object is placed in a fluid with higher density, like salt water, it doesn't need to displace as much volume to equal its own weight.

Think of it in terms of wearing a life vest. The life vest increases your overall volume without significantly increasing your weight, ensuring you displace more water and improving your buoyancy. Back to our ship: since salt water is denser than freshwater, a ship floating in salt water will displace a smaller volume of water to support its weight compared to the larger volume it would need to displace in freshwater. Hence, it floats higher in salt water, just like wearing a bigger life vest!

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Most popular questions from this chapter

Assume air resistance is negligible unless otherwise stated. A rescue helicopter is hovering over a person whose boat has sunk. One of the rescuers throws a life preserver straight down to the victim with an initial velocity of \(1.40 \mathrm{m} / \mathrm{s}\) and observes that it takes 1.8 s to reach the water. (a) List the knowns in this problem. (b) How high above the water was the preserver released? Note that the downdraft of the helicopter reduces the effects of air resistance on the falling life preserver, so that an acceleration equal to that of gravity is reasonable.

Give an example in which density is used to identify the substance composing an object. Would information in addition to average density be needed to identify the substances in an object composed of more than one material?

Suppose you measure a standing person's blood pressure by placing the cuff on his leg \(0.500 \mathrm{~m}\) below the heart. Calculate the pressure you would observe (in units of \(\mathrm{mm} \mathrm{Hg}\) ) if the pressure at the heart were 120 over \(80 \mathrm{~mm} \mathrm{Hg}\). Assume that there is no loss of pressure due to resistance in the circulatory system (a reasonable assumption, since major arteries are large).

Marbles dropped into a partially filled bathtub sink to the bottom. Part of their weight is supported by buoyant force, yet the downward force on the bottom of the tub increases by exactly the weight of the marbles. Explain why.

Logs sometimes float vertically in a lake because one end has become water- logged and denser than the other. What is the average density of a uniform- diameter log that floats with \(20.0 \%\) of its length above water?

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