You and a friend are working inside a cylindrical new space station that is a hundred meters long and thirty meters in radius and filled with a thick air mixture. It is lunchtime and you have a bag of oranges. Your friend (working at the other end of the cylinder) wants one, so you throw one at him at speed vo at t = 0. Assume Stokes drag, that is Fa= -bū (this is probably a poor assumption depending on the initial speed, but it makes the algebra relatively easy and qualitatively describes the motion well enough). 1. Derive an algebraic expression for the velocity of the orange as a function of time. 2. How long does it take the orange to lose half of its initial velocity?

You and a friend are working inside a cylindrical new space station that is a hundred meters long and thirty meters in radius and filled with a thick air mixture. It is lunchtime and you have a bag of oranges. Your friend (working at the other end of the cylinder) wants one, so you throw one at him at speed vo at t = 0. Assume Stokes drag, that is Fa= -bū (this is probably a poor assumption depending on the initial speed, but it makes the algebra relatively easy and qualitatively describes the motion well enough). 1. Derive an algebraic expression for the velocity of the orange as a function of time. 2. How long does it take the orange to lose half of its initial velocity?

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)...

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

Question

You and a friend are working inside a cylindrical new space station that is a hundred meters long and thirty
meters in radius and filled with a thick air mixture. It is lunchtime and you have a bag of oranges. Your
friend (working at the other end of the cylinder) wants one, so you throw one at him at speed vo at t = 0.
Assume Stokes drag, that is Fa= -bū (this is probably a poor assumption depending on the initial speed,
but it makes the algebra relatively easy and qualitatively describes the motion well enough).
1. Derive an algebraic expression for the velocity of the orange as a function of time.
2. How long does it take the orange to lose half of its initial velocity?

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