How Do You Calculate Masses from an Acceleration vs. Force Graph?

In summary, the conversation discusses a graph showing the relationship between acceleration and force for three objects pulled by rubber bands. The mass of object 2 is given and the conversation tries to determine the masses of objects 1 and 3 using the slope of the graph. However, there is confusion about how to use this information to find the masses. The slope of the graph represents mass.
  • #1
StephenDoty
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0
The figure shows an acceleration-versus-force graph, attached, for three objects pulled by rubber bands. The mass of object 2 is 0.300 . What are the masses of objects 1 and 3?
Part A
ANSWER: = Answer not displayed
kg



Part B
ANSWER: = Answer not displayed
kg




for object 2 the slope is a/F or 1/m or 1/.3kg

For object 3 the slope is a/F or 2a/5F or 1/5F*3a, what do I do now??
And for object 1 the slope is a/F or 5a/2F or 3a/2m what do I do now?

How do I use this information to find the mass of object 3 and 1?

Thank you

Stephen
 

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  • #2
Well, you know the mass of object 2. The graph tells you that 5N = M *5a soooo 5/(5*.3) = a and you found the multiple of a.

Can you use that to tell you the true value of a?

I might have read the value wrong and assumed it crossed the 5. However, it does cross the 1 without a doubt, so replace the 5's with 1's.
 
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  • #3
i had this same exact problem on a take home test and I still don't understand it.
Can someone please explain this to me? PLEASE and THANK YOU
 
  • #4
tsd5060 said:
i had this same exact problem on a take home test and I still don't understand it.
Can someone please explain this to me? PLEASE and THANK YOU

What does the slope of the graph represent?
 
  • #5
the slope of the force acceleration graph represents mass
 

FAQ: How Do You Calculate Masses from an Acceleration vs. Force Graph?

What is the difference between acceleration and force?

Acceleration is the rate of change of velocity, while force is any influence that causes an object to undergo a change in motion.

How are acceleration and force related?

According to Newton's second law of motion, force is directly proportional to acceleration. This means that the greater the force applied to an object, the greater its acceleration will be.

Can an object accelerate without a force acting on it?

No, an object cannot accelerate without a force acting on it. According to Newton's first law of motion, an object will remain at rest or in motion with a constant velocity unless acted upon by an unbalanced force.

How does mass affect acceleration and force?

Mass is a measure of an object's resistance to acceleration. The greater the mass of an object, the more force is required to accelerate it. This means that a heavier object will have a smaller acceleration for the same amount of force applied compared to a lighter object.

Are there any other factors that can affect acceleration and force?

Yes, other factors such as friction, air resistance, and surface characteristics can also affect acceleration and force. These factors can either increase or decrease the amount of force needed to accelerate an object or affect the object's acceleration directly.

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