Question

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing....

A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3100 N/m. The piston has a negligible mass and a radius of 0.025 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure do in compressing the spring?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Atmospheric Pressure at STP = 1.01325*10^5 Pa

The force due to the atmosphere on the piston = Pressure*Area of the piston

F = 101325*pi*0.035^2

F = 198.95 N

This forces acts on the spring below the piston to compress.

When the piston reaches equilibrium force due to spring = force due to atmosphere

F = kx

x = 198.95 / 3100 = 0.06417 m

b)

By conservation of energy

The work done by atmospheric pressure compressing the spring = Potential energy of the spring

W = 1/2*3100*0.06417^2 = 6.38 J

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A cylinder is fitted with a piston, beneath which is a spring, as in the drawing....
A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is open to the air at the top. Friction is absent. The spring constant of the spring is 3700 N/m. The piston has a negligible mass and a radius of 0.032 m. (a) When the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) How much work does the atmospheric pressure...
A cylinder if fitted with a floating piston oriented horizontally (the air is the system and...
A cylinder if fitted with a floating piston oriented horizontally (the air is the system and by having a floating piston it maintains constant pressure). It contains 24.5 L of air at 25.0C and 1 bar pressure. The system is then heated to 250.0C. Air can be considered a diatomic gas and therefore would have a Cv = 5R/2, where R is the ideal gas constant. Also for gases Cp = Cv +R. How much work was done (in J)...
An air pump has a cylinder 0.270 m long with a movable piston. The pump is...
An air pump has a cylinder 0.270 m long with a movable piston. The pump is used to compress air from the atmosphere (at absolute pressure 1.01 × 105 Pa ) into a very large tank at a pressure of 5.40 × 105 Pa. (For air, CV = 20.79  J/mol⋅K.) A. The piston begins the compression stroke at the open end of the cylinder. How far down the length of the cylinder has the piston moved when air first begins to...
Thomas Brown ask that A cylindirical container hold an ideal gas and fitted with a piston...
Thomas Brown ask that A cylindirical container hold an ideal gas and fitted with a piston of mass m. radius of cylinder is r and system is in equilibrium at a height h. Assume P₀ is outside pressure. a) what is the absolute pressure of gas trapped under piston. b) İf you move piston a small amount x, show that it does small oscillations and find the radial frequency for it. Comment on what happens if you pull piston too...
A gas is confined in a 0.80 m diameter cylinder by a piston, on which rests...
A gas is confined in a 0.80 m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150 kg. The local acceleration of gravity is 9.813 m/s2 and atmospheric pressure is 101.57 kPa. (a) What is the force in newtons exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder? (b) What is the pressure of the gas in kPa?...
A cylinder fitted with a frictionless, massless piston contains compressed liquid water at a temperature T1=20C....
A cylinder fitted with a frictionless, massless piston contains compressed liquid water at a temperature T1=20C. The atmospheric pressure on the outside of the system is P=1.0 bar. Heat is then added until the water is completely converted to saturated vapor. (a) What are the changes in specific volume, v2-v1 (m3/kg) and internal energy, u2-u1 (kJ/kg) of the water for this process? (b) How much specific work, if any, is done by the system? (c) What is the amount of...
A cylinder if fitted with a floating piston oriented horizontally (the air is the system and...
A cylinder if fitted with a floating piston oriented horizontally (the air is the system and by having a floating piston it maintains constant pressure). It contains 24.5 L of air at 25.0C and 1 bar pressure. The system is then heated to 250.0C. Air can be considered a diatomic gas and therefore would have a Cv = 5R/2, where R is the ideal gas constant. Also for gases Cp = Cv +R. If you make assumptions to solve they...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT