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Physics Homework: Buoyancy and Archimedes Principle, Assignments of Physics

The University of Texas at AustinPhysics

Solutions to two physics problems related to buoyancy and archimedes principle. The first problem calculates the size of a hot air balloon needed to lift a gondola and its passengers. The second problem determines how deep a glass will sink in water and how much water is required to drown it.

Typology: Assignments

Pre 2010

Uploaded on 08/26/2009

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Homework(12((((309K((Phys!
Due!April!27!in!Class!
!
1!!!!!!!One!cubicmeter!of!air!weighs!1.39!kg.!If!you!heat!it!by!170!C!the!density!reduces!to!.91!
kg/m3!(remember!air!expands!when!you!heat!it).!How!big!do!you!have!to!make!a!hot!air!balloon!
to!carry!a!gondola!of!50!kg,!attached!to!the!skin!of!880!lb!and!you!with!3!friends,!(pick!your!own!
weights!)!
Answer:(!One!cubic!meter!hot!air!has!a!buoyancy!of!1.39!‐!.91!=!.48!kg.!To!carry!(50!+!880!∙!2!∙!
.44!+!60!+!80!+!75)!kg,!you!need!1004!∙!.48!=!500!m3.!That!corresponds!to!a!circular!balloon!of!
10!m!diameter!!
2!!!!!!!!!A!tall!glass!(20cm)!is!swimming!in!your!bathtub.!It!weighs!60!grams!and!a!bottom!area!of!
10!cm2.!How!deep!will!it!sink!into!the!water,!while!it!is!still!empty!and!how!much!water!can!you!
add!to!drown!it?!
Answer:! ! The! glass! will! sink! so! far! until! the! displaced! water! is! 60gr.! This! correspond! to! 6! cm!
since!! !10cm2!∙! 6!cm!=! 60cm3! =!60gr!of! water.!Now!14! cm!of!glass! floats! above!the!surface! of!
the!water.! !Again! 14! cm2!∙!10!cm! =! 140! cm3!suffice!to!sink! the! glass.! This! means!you!can!add!
only!140!ml!of!water.!
!
((

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Download Physics Homework: Buoyancy and Archimedes Principle and more Assignments Physics in PDF only on Docsity!

Homework 12 309 K Phys

Due April 27 in Class

1 One cubicmeter of air weighs 1.39 kg. If you heat it by 170 C the density reduces to. kg/m^3 (remember air expands when you heat it). How big do you have to make a hot air balloon to carry a gondola of 50 kg, attached to the skin of 880 lb and you with 3 friends, (pick your own weights ) Answer: One cubic meter hot air has a buoyancy of 1.39 ‐ .91 = .48 kg. To carry (50 + 880 ∙ 2 ∙ .44 + 60 + 80 + 75) kg, you need 1004 ∙ .48 = 500 m 3

. That corresponds to a circular balloon of 10 m diameter 2 A tall glass (20cm) is swimming in your bathtub. It weighs 60 grams and a bottom area of 10 cm2. How deep will it sink into the water, while it is still empty and how much water can you add to drown it? Answer : The glass will sink so far until the displaced water is 60gr. This correspond to 6 cm since 10cm2 ∙ 6 cm = 60cm3 = 60gr of water. Now 14 cm of glass floats above the surface of the water. Again 14 cm2 ∙ 10 cm = 140 cm3 suffice to sink the glass. This means you can add only 140 ml of water.