Un-tethered helium balloons, floating in a car that has all the windows rolled up and outside air
Question:
(a) Apply Newton's second law to the volume element to show that dp = pa dx.
(b) Integrate the result of part (a) to find the pressure at the front surface in terms of and x.
(c) To show that considering p constant is reasonable, calculate the pressure difference in atm for a distance as long as 2.5 m and a large acceleration of 5.0 cm/s2.
(d) Show that the net horizontal force on a balloon of volume V is pVa.
(e) For negligible friction forces, show that the acce1ecation of the balloon (average density Pbal) is (p/pbal) a, so that the acceleration relative to the car is avel = [(p/pbal) - l)a.
(f) Use the expression for am in part (e) to explain the movement of the balloons.
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Related Book For
College Physics Reasoning and Relationships
ISBN: 978-0840058195
2nd edition
Authors: Nicholas Giordano
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