Answer
The upward normal force exerted by the floor on the passenger is 620 N. The reaction force is the downward force of 620 N exerted by the passenger on the floor.
The weight of the passenger is 650 N. The reaction force is the gravitational force of 650 N pulling upward on the earth.
The passenger is accelerating downward with a magnitude of $a = 0.452~m/s^2$
Work Step by Step
The upward normal force exerted by the floor on the passenger is 620 N. The reaction force is the downward force of 620 N exerted by the passenger on the floor.
The weight of the passenger is 650 N. The reaction force is the gravitational force of 650 N pulling upward on the earth.
We can find the mass of the passenger.
$mg = 650~N$
$m = \frac{650~N}{9.80~m/s^2} = 66.33~kg$
We can find the passenger's acceleration.
$\sum F = ma$
$mg-F_N = ma$
$a = \frac{650~N-620~N}{66.33~kg} = 0.452~m/s^2$
The passenger is accelerating downward with a magnitude of $a = 0.452~m/s^2$
