What is the apparent weight by a person in an elevator when it is accelerating upwards and downwards?
Answers
general formula for weight
w=mg
when lift accelerates upwards the acceleration supports gravity
w=m(g+a)
when lift moves downward it opposes the gravity
w=m(g-a)
In this case, the elevator and the person are initially moving upward at a
constant speed and slowing down to rest at a higher floor. The
acceleration of the elevator is downward (opposite to the upward motion,
which causes a reduction of the velocity). The inertia of the person
would prefer to keep moving upward at a constant speed, so the elevator
floor and scale effectively drop out a little bit from underneath the person
as the elevator slows down.
The person doesn't float upward, because again the elevator and the
person move together, but the contact force between the person and the
scale is reduced. The scale therefore has to push upward with less force
on the person to support the person's weight.
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