11 Questions around this concept.
A man weighs 80 kg. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of 5m/s2. What would be the reading on the scale. (g=10m/s2)
If mass m is placed on a weighing machine which is placed in the lift.
Actual weight = mg
Apparent weight = Reaction force
R - Reaction force is given by reading of weighing machine.
Lift is at Rest
$\begin{aligned} & V=0, a=0 \\ & \text { use } F_{\text {net }}=m \vec{a} \\ & R-m g=0 \\ & R=m g\end{aligned}$
Apparent weight = Actual weight
Lift is moving upward or down with constant Velocity
$\begin{aligned} & v=\text { const }, a=0 \\ & R=m g\end{aligned}$
Apparent weight = Actual weight
Lift is accelerating Upward with acceleration = a
$\begin{aligned} & v=\text { variable, } \\ & a<g \\ & R-m g=m a \\ & R=m(g+a)\end{aligned}$
Apparent weight > Actual weight
Lift is moving up with a = g
$\begin{aligned} & R-m g=m g \\ & R=2 m g\end{aligned}$
Apparent weight = 2 (Actual weight)
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