Answer :
The scale shows the force exerted by the physicist on it, which is equal to the net force acting on the physicist. The scale will show a reading of 702.89 N while the physicist is going down in the elevator.
To solve this problem, we need to analyze the forces acting on the physicist and apply Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration.
When the elevator is slowing down, the physicist experiences two forces:
The force of gravity pulling him towards the center of the Earth, which is equal to his mass times the acceleration due to gravity, approximately 9.81 m/s^2.
The force of the elevator slowing down, which is equal to his mass times the acceleration of the elevator, which is given as -2.7 m/s^2 in this case (negative because it's in the opposite direction to the physicist's weight).
Therefore, the net force acting on the physicist is:
Net force = Force of gravity + Force of elevator slowing down
= (mass) x (acceleration due to gravity) + (mass) x (acceleration of elevator)
= (99 kg) x (9.81 m/s^2) + (99 kg) x (-2.7 m/s^2)
= 970.19 N - 267.3 N
= 702.89 N
The scale shows the force exerted by the physicist on it, which is equal to the net force acting on the physicist. Therefore, the scale will show:
Scale reading = Net force
= 702.89 N
So, the scale will show a reading of 702.89 N while the physicist is going down in the elevator.
Learn more about laws of motion here:
https://brainly.com/question/29775827
#SPJ4
