Answer :


Let actual weight of the person be


Given:


Maximum weight


Minimum weight


When the elevator moves with acceleration , a pseudo force acts on the person in the downward direction.


In this case the weight is maximum as measured by the weighing machine, -----(1)


Where is the acceleration of the elevator.


When the elevator moves with deceleration , a pseudo force acts on the person in the upward direction.


In this case the weight is minimum as measured by the weighing machine, -----(2)


Adding (1) and (2) we get,



Thus, the weight


Subtracting (2) from (1)



Thus, the magnitude of acceleration,



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