Air is contained in a vertical piston-cylinder assembly such that the piston is in static equilibrium. The atmosphere exerts a pressure of
101kPa
on top of the 0.2 -m-diameter piston. The gage pressure of the air inside the cylinder is
1.6kPa
. The local acceleration of gravity is
g=9.81(m)/(s^(2))
. Subsequently, a weight is placed on top of the piston causing the piston to fall until reaching a new static equilibrium position. At this position, the gage pressure of the air inside the cylinder is
2.8kPa
. Determine (a) the mass of the piston, in
kg
, and (d) the mass of the added weight, in
kg
.