Math Playground
Measurement

Apparent weight

Why you feel heavier in a lift going up — gravity hasn't changed.

Apparent weight is what a scale reads. In a lift accelerating up, you feel heavier — your apparent weight is more than your true weight.

Try this
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scale reading = m(g + a), m = 70 kg, g = 9.8 =

What the scale really measures

A scale shows the support force it pushes up on you with — not gravity directly. Standing still that force equals your true weight m·g. Accelerating up, the scale must push harder (reads more); accelerating down, it pushes less; in free fall it reads zero.

Apparent weight in a lift

a is the lift's acceleration, positive upward. a = 0 → N = mg (true weight). a = −g → N = 0 (weightless).

Your turn

A 60 kg person stands in a lift accelerating upward at 2 m/s². What does the scale read (in newtons)?