Question

2. Suppose you are on an elevator accelerating upwards. You feel as if your weight has:

Answer 1

You feel your weight has a) increased

Explanation:

There are two forces acting on you when you are standing on the elevator:

• The force of gravity (weight), given by $W=mg$ (where m is your mass and g the acceleration of gravity), acting downward
• The normal reaction exerted by the floor of the elevator on you, N, acting upward

Therefore, we can write Newton's second law applied to this situation as:

$N-mg = ma$

where $a$ is the acceleration of the elevator (positive since it is upward).

The weigth that you feel is actually the magnitude of the normal force exerted by the floor on you, N. Re-writing the equation,

$N=mg+ma=m(g+a)$

Here for the convention used, both g and a are positive: this means that the normal reaction is actually larger than your real weight,

$N>mg$

so, you feel that your weight has increased.

Learn more about forces and weight:

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