Pregunta
- A person stands on a bathroom scale that is calibrated in newton, in a stationary elevator.
The reading on the bathroom scale is W .
The elevator now moves with a constant upward acceleration of
, where g is the
gravitational acceleration. What will the reading on the bathroom scale be now?
A
B
The reading on the bathroom scale is W .
The elevator now moves with a constant upward acceleration of
gravitational acceleration. What will the reading on the bathroom scale be now?
A | B |
Ask by Gardner Wagner. in South Africa
Mar 19,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The reading on the bathroom scale will be
.
Solución
- In a stationary elevator, the reading on the scale is the weight of the person:
- When the elevator accelerates upward with
, the net effective acceleration acting on the person becomes: - The reading on the scale in the accelerating elevator will be the normal force, which is now:
- Substituting
into the equation, we get:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Bonus Knowledge
When a person is in a stationary elevator, the reading on the scale reflects their weight,
, where
is the mass of the person and
is the acceleration due to gravity. When the elevator accelerates upwards at
, the effective weight increases. Hence, the reading on the scale becomes
. Therefore, the new reading will be
.
During the upward acceleration, you can think of the scale as measuring not just your weight but the “extra push” needed to move up. Be careful! If you mistakenly calculate only using
, you wouldn’t account for that additional
acceleration. Always remember that when in motion, the forces add up!

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