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A person is standing on a spring bathroomscale on the floor of an elevator which ismoving up and slowing down at the rate of2.16 m/s2.The acceleration of gravity is 9.8 m/s2.If the person’s mass is 88.1 kg, what doesthe scale read?Answer in units of n.

Respuesta :

Explanation

Step 1

Diagram

For the accelerations, here we assume the upward be positive and downward be negative,so

[tex]\begin{gathered} \text{Net acceleration = }g-(-a) \\ \text{Net acceleration =}9.8-(-2.16)=10.96 \end{gathered}[/tex]

note that a is negative because the elevator is slowing down

now, the reading of the scale is

[tex]\begin{gathered} F=ma \\ \text{replace} \\ F=88.1\text{ Kg}\cdot10.96(\frac{m}{s^2}) \\ F=965.576\text{ N} \end{gathered}[/tex]

therefore, the answer is

96

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