A piston of mass 2 kg is lowered 0.5 m in the standard gravitational field. Find the required force and work involved in the process.
F = ma = 2 kg × 9.80665 m/s2 = 19.61 N
W = ∫ F dx = F ∫ dx = F ∆x = 19.61 N × 0.5 m = 9.805 J