Question

You are in an elevator that is accelerating up at 2 m/s/s. Your mass is 60 kg.

What is the magnitude of your weight force?
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What is the magnitude of the normal force on you from the elevator?
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Answer 1

Given data

*The given mass is m = 60 kg

*The given acceleration is a = 2 m/s^2

*The value of acceleration due to gravity is g = 9.8 m/s^2

The formula for the magnitude of the weight force is given as

`W=mg`

Substitute the known values in the above expression as

`\begin{gathered} W=(60)(9.8)_{} \\ =588\text{ N} \end{gathered}`

Hence, the magnitude of the weight force is W = 588 N

The formula for the magnitude of normal force on the elevator is given as

`N=m(g+a)`

Substitute the known values in the above expression as

`\begin{gathered} N=60(9.8+2) \\ =708\text{ N} \end{gathered}`

Hence, the magnitude of the normal force on the elevator is N = 708 N