The upward normal force exerted by the floor is 620 N on an elevator passenger who weighs 650 N. What are the reaction forces to these two forces? Is the passenger accelerating? If so, what are the magnitude and direction of the acceleration?

Solution 24 E Step 1 : In this question , we need to find the Reaction force of upward and downward forces Is the passenger in the lift acceleration Magnitude and direction of acceleration Step 2 : Considering the data given Upward force F up = 620 N Downward force F down = 650 N Let us find the reaction force This can be obtained using F up F down = mass × acceleration Hence we have Acceleration for the lift is given by gravitational force 2 a = g = 9.8 m/s Substituting the values we get 620 N 650 N = mass × 9.8 m/s 2 Hence the reaction between the forces will be 620 N 650 N = mass × 9.8 m/s 2