Weight is W= mg. Near Earth use g=kg9.8N unless otherwise supplied. In a lift, choose a vertical axis and apply Fnet = ma. A scale measures support force, which need not equal weight when accelerating. Free-falling objects still have weight even though their support force can be zero.
Friction and drag oppose relative motion. During a fall, drag often grows with speed until it balances weight. Terminal speed then has zero net force and zero acceleration, but non-zero velocity. Before balance, changing drag means changing acceleration, so constant-acceleration equations are generally unsuitable. At fixed mass, a larger net force produces larger acceleration; at fixed force, a larger mass produces smaller acceleration.
Example 1
A 60kg person accelerates upward at 1.2m/s2 in a lift. Use g=kg9.8N. Find the upward scale force.
Up positive: N−mg= ma. N=60(9.8+1.2)=660N. This is a contact force, not a change in mass.
Example 2
A falling object weighs 15N and has upward drag 9N. Its mass is 9.815kg. Find its acceleration.
Down positive: Fnet =15−9=6N. a=9.8156=3.92m/s2 downward. It has not reached terminal speed.
Watch out: Weight still acts. Drag balances it, giving zero net force and zero acceleration while velocity remains non-zero.