The upward normal force exerted by the floor is 620 n on an elevator passenger who weighs 650 n.
Asked by maham237 @ in Physics viewed by 265 People
Is the passenger accelerating? If so, what are the magnitude and direction of the acceleration?
Asked by maham237 @ in Physics viewed by 265 People
Is the passenger accelerating? If so, what are the magnitude and direction of the acceleration?
Answered by maham237 @
Answer:
downward
Explanation:
There are two forces acting on the passenger on the elevator:
- The upward normal force, R
- The weight of the passenger, W
Therefore we can write Newton's second law as
where a is the acceleration of the passenger and m its mass. Here we took upward as positive direction, so that R is positive.
The mass of the passenger can also be written as
where g = 9.8 m/s^2 is the acceleration of gravity.
So the equation becomes
And solving for a, we find the acceleration:
and the negative sign means the direction is downward.
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