**Title: Understanding Archimedes and Buoyancy****Introduction:**In the famous story of Archimedes, he proposed weighing the king’s crown underwater to determine if it was made of pure gold. This involves understanding the concepts of weight in air and weight in water due to buoyancy.**Problem Statement:**Suppose the weight of the crown is \( W_1 \) in air, and \( W_2 \) underwater. Calculate:- (A) \( W_2 \) for a gold crown.- (B) \( W_2 \) for an alloy consisting of 75% gold and 25% silver.**Notes:***Historical Correction:* Although Archimedes is often credited with using this method, he actually employed a different approach but could have used the buoyancy method!**Data:**Given: \( W_1 = 33.2 \, \text{N} \)**Instructions:**For each calculation, submit your answer using the provided fields. Each field allows 12 tries to input the correct answer.**Discussion:**Feel free to engage in the discussion area for further exploration of Archimedes' principles and historical context.**Submit Answers:**- Enter your calculated \( W_2 \) for each case and submit for verification.- Utilize the platform’s feedback tools for guidance.

Name: **Title: Understanding Archimedes and Buoyancy****Introduction:**In t
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: **Title: Understanding Archimedes and Buoyancy****Introduction:**In the famous story of Archimedes, he proposed weighing the king’s crown underwater to determine if it was made of pure gold. This involves understanding the concepts of weight in air

Density of gold= 19300 kg/m3 Density of silver= 10500 kg/m3

Science

Physics

the famous story, Archimedes proposed to weigh the ng's crown under water to determine if it was pure gold. uppose the weight of the crown was W₁ in air, and W₂ nder water. Calculate (A) W₂ for a gold crown; and (B) W₂ or an alloy of 75% gold and 25% silver. torical correction: Archimedes actually used a different method, but

the famous story, Archimedes proposed to weigh the ng's crown under water to determine if it was pure gold. uppose the weight of the crown was W₁ in air, and W₂ nder water. Calculate (A) W₂ for a gold crown; and (B) W₂ or an alloy of 75% gold and 25% silver. torical correction: Archimedes actually used a different method, but

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

fuly A man has a nass of 80kg submerged. ) lken he is in the air, what is Hhe byoyant force on him due to the atmosphere ? Nete: 0°C a mass of 80ka. In pure water,he floats IS Use the tabulated densities at D Wllen he is submerged nt force on him due to the water ? in sea water, what is the buoyar Air density is 1:29 ka/m3 Fresh water density is 100okg/m3 and Sea water density is 1025kg/m3
The gauge pressure in your car tires is 2.25 x 10° Pa at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska.
An empty balloon that weighs 0.722 g is filled with helium at normal atmospheric pressure (101.3 kPa) at room temperature (20.0°C) and reaches a volume of 4.22 dm3. a) How much does the balloon weigh when filled with helium? b) A balloon that weighs less than the corresponding volume of the ambient air will, according to Archimede's principle, float if you release it, while one that weighs more will fall to the ground. How much would the corresponding volume of air weigh? Assume that air molecules have a molecular weight of 28.8 g/mol. c) Will this balloon float when you release it?
A fish tank has dimensions 42 cm wide by 1.0 m long by 0.80 m high.If the filter should process all the water in the tank once every 3.0 h, what should the flow speed be in the 3.0-cm- diameter input tube for the filter?Express your answer to two significant figures and include the appropriate units.
Inthelungs,therespiratorymembraneseparatestinysacsofair(absolute pressure=1.00x105 Pa) from the blood in the capillaries. These sacs are called alveoli, and it is from them that oxygen enters the blood. The average radius of the alveoli is 0.125 mm, and the air inside contains 14% oxygen, which is somewhat smaller amount than in fresh air. Assuming that the air behaves as an ideal gas at body temperature (310 K), find the number of oxygen molecules in one of the sacs.
What is the greatest average speed of blood flow at 37°C in an artery of radius 2.50 mm if the flow is to remain laminar? Take the density of blood to be 1025 kg/m3, and the viscosity to be 2.084 × 10-3 Pa.s. What is the corresponding flow rate?
King Hieron II asked Archimedes to determine if the crown shown below is entirely madeof gold or not. Using the scale, the weight of the crown was measured to be (a) 8.00 N inair and (b) 7.50 N when it is fully submerged in water (b). Knowing that the density ofgold is ??? = 19.3 × 103 kg/m3, is the crown entirely made of gold or was it adulteratedwith a cheaper metal? Briefly explain why. (Note: Use ? = 9.81 m/s
Pressure cookers have been around for more than 300 years, although their use has strongly declined in recent years (early models had a nasty habit of exploding). How much force must the latches holding the lid onto a pressure cooker be able to withstand if the circular lid is 25.0 cm in diameter and the gauge pressure inside is 300 atm? Neglectn the weight of the lid.
A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dryair contains 20.9% oxygen and has a total pressure of 1.01×105 N/m2. (a) What is the partial pressure of oxygenat sea level? (b) If the diver breathes a gas mixture at a pressure of 2.00×106 N/m2, what percent oxygen shouldit be to have the same oxygen partial pressure as at sea level?
(a) A 93.0 kg man floats in fresh water with 3.00% of his volume above water when his lungs are empty, and 5.00% above water when his lungs are full. Calculate the volume of air he inhales—called his lung capacity—in liters. L (b) Does this lung volume seem reasonable? NoYes
The water and gasoline surfaces of the Figure are open to the atmosphere and at the same height. If the two fluids are at 20 ° C, what is the height h of the third liquid on the right side?