A 0.389 kg0.389 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 5.54 mm5.54 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 1.591.59, what is the initial acceleration ?a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm1.00 atm and that the top of the tube is open to the air. A 0.389 kg metal cylinder is placed inside the top of a plastictube, the lower end of which is sealed off by an adjustableplunger. The cylinder comes to rest some distance above theplunger. The plastic tube has an inner radius of 5.54 mm andis frictionless. Neither the plunger nor the metal cylinderallow any air to flow around them.If the plunger is suddenly pushed upwards, increasing thepressure between the plunger and the metal cylinder by afactor of 1.59, what is the initial acceleration a of the metalcylinder? Assume the pressure outside of the tube is 1.00 atmand that the top of the tube is open to the air.a =m/s?

Given data: Cylinder's mass m = 0.389 kg Inner radius ri = 5.54 mm pressure increasing factor = 1.59 Outside ressure Po = 1.00 atmThe expression for the pressure at the top position is, P=FA+Po =mgπr2+Po =0.389kg9.8m/s2π5.54×10-3m2+101325 Pa =140862.23 Pa The changed pressure will be, P'=1.59140862.23 Pa =223970.95 PaThe expression for the ballanced force eqarion . P'-PoA-mg=maa=P'-PoA-mgm =223970.95 Pa-101325 Paπ5.54×10-32-0.389 kg×9.8 m/s20.389 kg =20.60 m/s2

Answered: A 0.389 kg metal cylinder is placed…

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 0.389 kg0.389 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 5.54 mm5.54 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 1.591.59, what is the initial acceleration ?a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm1.00 atm and that the top of the tube is open to the air.

A 0.389 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 5.54 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.
a =
m/s?

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