How Does Acceleration Affect the Scale Reading in Newtons?

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In summary: So, in summary, the scale would initially read 822 N when the man is at rest, but it would read 89.3 N after he is accelerated by the elevator.
  • #1
Shoebox
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Homework Statement


man's weight is 83.8 kg
1lb=4.48N
what would the scale read (in N) if he went from 0m/s to 7m/s up in 6.56 seconds?

Homework Equations


F=ma
a=v/t

The Attempt at a Solution


a=7/6.56
a=1.07
f=(83.5)(1.07)
f= 89.3N
 
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  • #2
Hello Shoebox (?),

Do you have question? (I suppose so, or you wouldn't post, right :wink:). I sure have one:

What would the scale read if he isn't accelerated at all, just standing still and upright ?
 
  • #3
it would read 821 N
 
  • #4
What does a weighing scale usually read, the weight of something else actually? Know that and you will get your answer! :wink:
 
  • #5
it reads pounds. so it would be 183.26 pounds. but i still don't understand how the acceleration would affect his weight
 
  • #6
Take a scale, go to the nearest skyscraper, step into the elevator, stand on the scale .
If your weight is 83.8 kg then the scale reading (in N, it's borrowed from a physicist) initially is 822 N.
The only force you feel is the force of the scale that keeps you in place.

Now press the button for the top floor. The elevator accelerates from 0 m/s to 7 m/s in 6.56 seconds.

The man doesn't stay on the ground floor but is accelerated with the elevator cage.
The man also accelerates from 0 m/s to 7 m/s in 6.56 seconds
The only force he feels is the force of the scale pushing him up.

Do you think the scale reading during those 6.56 seconds
  1. stays the same
  2. is lower than 821 N
  3. is higher than 821 N
After these 6.56 seconds, the elevator zooms up with constant speed. What is the acceleration ? What's the scale reading ?

Then it brakes at the 84th floor, two floors below the destination top floor. It decelerates from 7 m/s to 0 m/s in 3.5 s.
What is the acceleration ? What's the scale reading ?Physicists scales are in N. Normal developed civilizations (and countries that were conquered by Napoleon) have scales in kg. Some remote tribes on faraway islands have scales in stones.
 
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  • #7
I'm not referring to the unit (pounds). As BvU said, the unit of the scale in in N (Newtons). I mean what quantity does it measure? Draw the free body diagram of the man. The forces acting on him in a stationary elevator will be (1) His weight and (2) Normal reaction from the weighing machine. The weighing machine actually measures the normal reaction on it by the man, which is equal and opposite to the normal reaction exerted by the machine on the man (By Newton's 3rd Law).
 

FAQ: How Does Acceleration Affect the Scale Reading in Newtons?

What is the definition of acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. In simpler terms, acceleration measures the increase or decrease in an object's speed.

How does acceleration affect force?

According to Newton's Second Law of Motion, force is directly proportional to acceleration. This means that as acceleration increases, so does the force acting on an object. Similarly, when acceleration decreases, the force acting on an object also decreases.

What is the relationship between acceleration and mass?

The relationship between acceleration and mass is inversely proportional. This means that as mass increases, acceleration decreases and vice versa. This can be seen in Newton's Second Law, where force is equal to mass times acceleration (F=ma).

How does the direction of acceleration affect force?

The direction of acceleration affects force in that the force acting on an object will be in the same direction as the acceleration. For example, if an object is accelerating towards the right, the force acting on it will also be towards the right.

What is the difference between positive and negative acceleration?

Positive acceleration occurs when an object's velocity increases over time, while negative acceleration (also known as deceleration) occurs when an object's velocity decreases over time. Positive acceleration results in a force in the same direction as the acceleration, while negative acceleration results in a force in the opposite direction.

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