Archimedes' Principle and Immersed Stone Activity

Questions and Answers

Why did Archimedes shout 'Eureka!' when he discovered the principle later named after him?

Because he noticed that the water in a bathtub overflowed when he stepped into it, realizing the principle of buoyancy.

How is Archimedes’ principle applied in determining the purity of gold in a crown?

Archimedes’ principle is used to determine the density of the crown compared to pure gold, by observing the water displacement when the crown is submerged.

What is the significance of Archimedes’ principle in ship and submarine design?

Archimedes’ principle is crucial in ship and submarine design as it helps determine the buoyant force acting on the vessels, ensuring they float and remain stable in water.

Explain how lactometers and hydrometers are based on Archimedes’ principle.

Lactometers and hydrometers use Archimedes’ principle by measuring the density of liquids through the amount of fluid displaced, helping determine the purity and density of substances like milk or other liquids. Signup and view all the answers

What is the force exerted by fluids on the base and walls of the container they are in?

Pressure Signup and view all the answers

What is the term used for the force that keeps a bottle immersed in water?

Upthrust or buoyant force Signup and view all the answers

Why does a ship made of iron and steel float in sea water?

Due to buoyancy Signup and view all the answers

What determines the magnitude of the buoyant force experienced by an object in a fluid?

Density of the fluid Signup and view all the answers

What principle explains why objects float or sink in a fluid?

Archimedes’ Principle Signup and view all the answers

When a bucket of water is drawn from a well, why does it feel heavier outside the water?

Due to the loss of upthrust Signup and view all the answers

Explain why a block of plastic released under water comes up to the surface of water.

The block of plastic is less dense than water, so it experiences a buoyant force pushing it upwards. Signup and view all the answers

What is the net displacement and total distance covered by a stone that falls from the top of a tower 100 m high while another stone is projected vertically upwards from the ground with a velocity of 25 m/s?

Net displacement is 100 m downwards for the falling stone, while total distance covered is 225 m. The two stones will meet after 5 seconds at a height of 75 m above the ground. Signup and view all the answers

When a ball thrown up vertically returns to the thrower after 6 seconds, what is (a) the velocity it was thrown up with, (b) the maximum height it reaches, and (c) its position after 4 seconds?

(a) The initial velocity is 30 m/s upwards, (b) maximum height is 45 m, and (c) position after 4 seconds is 20 m above the ground. Signup and view all the answers

Explain in what direction the buoyant force on an object immersed in a liquid acts.

The buoyant force acts upwards, opposite to the direction of gravity. Signup and view all the answers

Calculate the force of gravitation between the Earth and the Sun given the mass of the Earth, the mass of the Sun, and the average distance between them.

The force of gravitation between Earth and Sun is $3.56 imes 10^{22}$ N. Signup and view all the answers

If the density of a substance is 1 g/cm³ and the substance has a volume of 20 cm³, will it float or sink in water?

The substance will sink in water. Signup and view all the answers