A 2-kg piston accelerates to 20 m/s from rest. What

Chapter 3, Problem 44HP

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QUESTION:

Problem 44HP

A 2-kg piston accelerates to 20 m/s from rest. What constant gas pressure is required if the area is 10 cm2, the travel is 10 cm, and the outside pressure is 100 kPa?

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QUESTION:

Problem 44HP

A 2-kg piston accelerates to 20 m/s from rest. What constant gas pressure is required if the area is 10 cm2, the travel is 10 cm, and the outside pressure is 100 kPa?

ANSWER:

Solution 44HP

Step 1 of 3

We have to find the constant gas pressure.

The gas pressure can be found using WorkEnergy theorem.

The WorkEnergy theorem states that the net work done is equal to change in the total energy of the piston.

where,

work done by the gas in J

work done by the atmosphere in J

change in the total energy of the

                piston in J

Now,

where,

constant gas pressure in Pa

outside pressure = 100 kPa

change in volume of gas in m3

Thus,

       

 

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