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Question
- if you place a 2 kg textbook on a scale inside of an elevator, and it reads 23 n. describe the motion of the elevator. clear all the elevator is accelerating downwards the elevator is moving at a constant velocity the elevator is at rest the elevator is accelerating upwards
Step1: Calculate the normal weight of the textbook
The weight of an object is given by $F = mg$, where $m = 2$ kg and $g= 9.8$ m/s². So $F=2\times9.8 = 19.6$ N.
Step2: Analyze the reading on the scale
The scale reads $23$ N which is greater than the normal weight of the textbook ($19.6$ N). According to Newton's second - law $F_{net}=ma$, when the normal force $N$ (reading on the scale) is greater than the weight $mg$ of the object, the net force is upwards. Since $F_{net}=N - mg$ and $F_{net}=ma$, an upward net - force implies an upward acceleration.
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The elevator is accelerating upwards.