Question

question 13
1 pts
a person with a mass of 68 kg stands inside an elevator on a scale. the elevator accelerates upward at 2.8 m/s². what must be the reading on the scale in newtons?
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Explanation:

Step1: Analyze the forces acting on the person

The forces acting on the person are the gravitational force \(F_g = mg\) (acting downward) and the normal force \(N\) (reading of the scale, acting upward). According to Newton's second law \(F_{net}=ma\), and \(F_{net}=N - mg\) (since the elevator is accelerating upward). So, \(N=mg + ma=m(g + a)\)

Step2: Substitute the given values

Given \(m = 68\space kg\), \(a=2.8\space m/s^{2}\), and \(g = 9.8\space m/s^{2}\).
Substitute into the formula \(N=68\times(9.8 + 2.8)\)

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Answer:

\(856.8\)