The piston and the load it supports arc accelerated upward by the gas in the cylinder. The...

The piston and the load it supports arc accelerated upward by the gas in the cylinder. The total weight of the piston and load is 1000 lb. The cylinder wall exerts a constant 50-lb frictional force on the piston as it rises. The net force exerted on the piston by pressure is (p2.– patm,)A. where p is the pressure of the gas. Patm = 2117 lb/ft2 is atmospheric pressure, and .A = 1 ft2 is the cross-sectional area of the piston. Assume that the product of p and the volume of the cylinder is constant. When s = 1 ft. the piston is stationary and p = 5000 lb/ft2. What is the velocity of the piston when s = 2 ft?