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A cylinder with a piston are situated along Y axis. Piston receives an impulse (P1) along Y axis and transmits it to the cylinder through a gas medium with which cylinder is filled. The impulse received by the cylinder along Y axis is P2.


Is P1 = P2?

Note: we are only considering the Y component of kinetic impulse.

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up vote 1 down vote accepted

No, the gas will be compressed and it will exert the same pressure on all walls(not just along the y axis) of the cylinder. So force along y axis will be diminished. This example is somewhat similar to hydraulic(gas instead) shock absorbers.

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OP is asking about impulse, not force at a given instant. – joshphysics Jul 31 '13 at 9:00
$Impulse=force\times time$ – user80551 Jul 31 '13 at 9:07

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