Solve for Apparent Weight: Newton's Second Law in Elevator Scenarios"

In summary, the apparent weight of a 79.0 kg person on a scale in an elevator is 916.4 N when the elevator is accelerating upward with an acceleration of 1.80 m/s2, 774.2 N when the elevator is moving upward at a constant speed, and ? N when the elevator is accelerating downward with an acceleration of 1.70 m/s2. To solve for the apparent weight, one must draw a free body diagram and sum the forces, using the equation FN=mg+ma. Further help may be needed to solve for part (c), but the process is similar to parts (a) and (b).
  • #1
shawonna23
146
0
A 79.0 kg person stands on a scale in an elevator. What is the apparent weight in each of the following situations?
(a) when the elevator is accelerating upward with an acceleration of 1.80 m/s2
? N

(b) when the elevator is moving upward at a constant speed
? N

(c) when the elevator is accelerating downward with an acceleration of 1.70 m/s2
? N
 
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  • #2
1. Draw a freebody diagram for each case.

2. How would you measure apparent weight. How would you write an expression involving the forces shown on a freebody diagram and the apparent weight?

3. Include your reasoning/solution before asking for help :smile:

Cheers
Vivek
 
  • #3
Here Is What I Came Up With

A. FN=mg+ma
(79.0*9.8)+(79.0*1.80)=916.4

B. (79.0*9.8)+(79.0*0)=774.2

I still don't know how to get the answer for c
 
  • #4
Did you draw a new FBD for part c and go through the process of summing the forces again?
 
  • #5
faust9 said:
Did you draw a new FBD for part c and go through the process of summing the forces again?

You're this : . : close from solving part (c). Just go ahead and follow faust9's advice and you'll be through (if you could you parts (a) and (b) there's no reason why you can't get (c) since the reasoning is similar...only the forces are to be accounted for correctly).

Cheers
Vivek
 

FAQ: Solve for Apparent Weight: Newton's Second Law in Elevator Scenarios"

What is Newton's First Law of Motion?

Newton's First Law of Motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force.

What is Newton's Second Law of Motion?

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. In other words, the greater the force applied to an object, the greater its acceleration will be. This law is expressed by the equation F=ma.

What is Newton's Third Law of Motion?

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object will exert an equal but opposite force on the first object.

What is the difference between mass and weight?

Mass and weight are often used interchangeably, but they are actually two different concepts. Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object. Mass is constant, but weight can vary depending on the strength of the gravitational force.

What is the law of universal gravitation?

The law of universal gravitation, developed by Isaac Newton, states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This law explains why objects are pulled towards each other and why the force of gravity becomes weaker as the distance between objects increases.

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