A 0.458 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.73 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.59, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air.

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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A 0.458 kg metal cylinder is placed inside the top of a
plastic tube, the lower end of which is sealed off by an
adjustable plunger. The cylinder comes to rest some distance
above the plunger. The plastic tube has an inner radius of
6.73 mm and is frictionless. Neither the plunger nor the
metal cylinder allow any air to flow around them.
If the plunger is suddenly pushed upwards, increasing the
pressure between the plunger and the metal cylinder by a
factor of 1.59, what is the initial acceleration a of the metal
cylinder? Assume the pressure outside of the tube is
1.00 atm and that the top of the tube is open to the air.
Transcribed Image Text:A 0.458 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.73 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.59, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air.
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