Concept explainers
(a)
Acceleration of the elevator.
(a)
Answer to Problem 112P
Acceleration is
Explanation of Solution
The reading of scale without box is
Let the acceleration in upward direction is taken as positive and in downward direction is taken as negative.
Write the equation for the apparent weight of Luke in elevator moving upwards with constant acceleration without the box.
Here, the apparent weight of Luke in elevator is
Write the equation for the apparent weight of Luke in elevator moving upwards with constant acceleration with the box.
Here, the apparent weight of Luke in elevator is
Rewrite equation (I) in terms of
Rewrite the equation (II) by substituting the above relation for
Rewrite the above relation in terms of
Conclusion:
Substitute
Positive value indicates the acceleration is directed in upward direction.
Therefore, the acceleration is
(b)
The weight of Luke.
(b)
Answer to Problem 112P
Luke’s weight is
Explanation of Solution
The reading of scale without box is
Let the acceleration in upward direction is taken as positive and in downward direction is taken as negative.
Write the relation between
Here, the weight of Luke is
Rewrite the above equation in terms of
Conclusion:
Substitute
Therefore, the Luke’s weight is
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