APool555 said:My professor briefly went over Archimede's principle and assigned some problems on it. I do not know how to attack it. Here's the first problem he gave:
A Ping-Pong ball has a diameter of 3.80 cm and average density of 0.084 g/cm^3. What force is required to hold it completely submerged in water?
Archimede's Principle, also known as the Law of Buoyancy, states that the upward buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid that the object displaces.
Archimede's Principle works by comparing the weight of an object to the weight of the fluid it displaces. If the weight of the object is greater than the weight of the fluid it displaces, the object will sink. If the weight of the object is less than the weight of the fluid it displaces, the object will float.
Archimede's Principle has many practical applications, including in shipbuilding and designing flotation devices. It also explains why some objects float while others sink in water and why icebergs float in the ocean.
The density of an object plays a crucial role in its buoyancy. An object with a lower density than the fluid it is placed in will float, while an object with a higher density will sink. This is because the lower density object displaces more fluid, resulting in a greater upward buoyant force.
Archimede's Principle is named after the ancient Greek mathematician and scientist, Archimedes. He is credited with discovering and describing the principle in the 3rd century BC. It was originally written in his work "On Floating Bodies".