Question

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.

Answer 1

Step-by-step explanation

Step 1

Diagram

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

`\begin{gathered} \text{Net acceleration = }g-(-a) \\ \text{Net acceleration =}9.8-(-2.16)=10.96 \end{gathered}`

note that a is negative because the elevator is slowing down

now, the reading of the scale is

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

therefore, the answer is

96