Unit 5, Lesson 16: Cool-down 16.5: Floating Above a Sunken Canoe A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoe's is -4.8 meters. The equation 12+=-4.8 represents this situation. 1. What does the variable represent? 2. What value of makes the equation true? Explain your reasoning.

1. What does the variable represent?

The variable 12+ represent that the ballon's vertical position is positive because it is still afloat and not sunk while -4.8 vertical position of the canoe is negative which depicts that the canoe is sunk.

2. What value of makes the equation true? Explain your reasoning?

the value of the equation that makes it through are the + and - signs attached to the figures 12+ and -4.8 respectively, which obeyed the Archimedes Principles and Law of Floating.

Explanation:

Archimedes Principle

In simple terms, Archimedes' principle states that, when a body is partially or completely immersed in a fluid, it experiences an apparent loss in weight that is equal to the weight of the fluid displaced by the immersed part of the body(s).

The two applications of Archimedes principle are:

(i). It is used to design ships and submarines.

(ii). It is used to design hydrometer which is used to measure the density of different liquids.

What is the Principle of ship floating?

Why the Ship Floats

Archimedes' Buoyancy Principle states that buoyant force- what keeps the ship afloat is equal to the weight of water that is displaced when the ship enters the ocean. If the weight of displaced water is at least equal to the weight of the ship, the ship will float.