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 Homework Statement:
 Given a fixed force applied to a mass, what effect would the introduction of a gas compression component make?
 Relevant Equations:

Newton's F=ma
Ke = 1/2 m v2
combined gas laws
p * V = n * R * T
p(V) = n * R * T / V = A / V
I have attached an image showing the perimeters of the problem.
I have included what I think is the solution, could someone please take a look and tell me if I am on the correct path, in the solution I am taking Joules as a common term to attempt to solve the question. The gas I have used is N.
Thanks in advance.