Solution Found!
A 2-kg piston accelerates to 20 m/s from rest. What
Chapter 3, Problem 44HP(choose chapter or problem)
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?
Questions & Answers
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,