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Ballooning on Mars. It has been proposed that we could

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 56P Chapter 12

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 56P

Ballooning on Mars. It has been proposed that we could explore Mars using inflated balloons to hover just above the surface. The buoyancy of the atmosphere would keep the balloon aloft. The density of the Martian atmosphere is 0.0154 kgm3 (although this varies with temperature). Suppose we construct these balloons of a thin but tough plastic having a density such that each square meter has a mass of 5.00 g. We inflate them with a very light gas whose mass we can ignore. (a) What should be the radius and mass of these balloons so they just hover above the surface of Mars? (b) If we released one of the balloons from part (a) on earth, where the atmospheric density is 1.20 kgm3, what would be its initial acceleration assuming it was the same size as on Mars? Would it go up or down? (c) If on Mars these balloons have five times the radius found in part (a), how heavy an instrument package could they carry?

Step-by-Step Solution:

Solution 56P Step 1: a) Provided, the atmospheric density of mars, = 0.0154 kg/m 3 mars 2 2 The mass density of the balloon, balloon 5g/m = 0.005 kg/m Therefore, the total mass of the balloon, M = × surface area balloon balloon 2 2 M balloon 0.005 kg/m × 4r 3 Volume of the balloon, V balloon (4/3) r Then, the density of the atmosphere in mars can be given as, mars= M balloonV balloon 3 2 2 3 0.0154 kg/m = [0.005 kg/m × 4r ] / (4/3) r 0.0154 kg/m = [0.005 kg/m × 3 ] / r 2 2 3 Rearranging, we will get, radius of the balloon, r = [0.005 kg/m × 3 ] / 0.0154 kg/m r = 0.974 m

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Chapter 12, Problem 56P is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The answer to “Ballooning on Mars. It has been proposed that we could explore Mars using inflated balloons to hover just above the surface. The buoyancy of the atmosphere would keep the balloon aloft. The density of the Martian atmosphere is 0.0154 kgm3 (although this varies with temperature). Suppose we construct these balloons of a thin but tough plastic having a density such that each square meter has a mass of 5.00 g. We inflate them with a very light gas whose mass we can ignore. (a) What should be the radius and mass of these balloons so they just hover above the surface of Mars? (b) If we released one of the balloons from part (a) on earth, where the atmospheric density is 1.20 kgm3, what would be its initial acceleration assuming it was the same size as on Mars? Would it go up or down? (c) If on Mars these balloons have five times the radius found in part (a), how heavy an instrument package could they carry?” is broken down into a number of easy to follow steps, and 167 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 56P from 12 chapter was answered, more than 1824 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Mars, balloons, Density, these, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 56P from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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