(Solved): A simple elevator ride can teach you quite a bit about the normal force. There are three different ...

A simple elevator ride can teach you quite a bit about the normal force. There are three different scenarios given detailing the rider's experience in an unnamed hotel. For each scenario, calculate the normal force \( F_{\mathrm{N}, 1-3} \) acting on the rider if his mass is \( m=76.6 \mathrm{~kg} \) and the acceleration due to gravity \( g=9.81 \mathrm{~m} / \mathrm{s}^{2} \). In scenario l, the elevator has constant velocity. \[ F_{\mathrm{N}, 1}= \] In scenario 2 , the elevator is moving with upward acceleration \( a_{2}=4.17 \mathrm{~m} / \mathrm{s}^{2} \) \[ F_{\mathrm{N}, 2}= \] In scenario 3, the cable breaks and the elevator accelerates downward at \( a_{3}=\mathrm{g}=9.81 \mathrm{~m} / \mathrm{s}^{2} \)