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

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To calculate the masses of objects 1 and 3 from the acceleration versus force graph, the slope of the graph, which represents mass, is key. Given that the mass of object 2 is 0.300 kg, the relationship between force and acceleration can be used to derive the masses of the other objects. The discussion highlights the need to correctly interpret the graph's slope and apply it to the equations for each object. Clarification on how to manipulate the slope values for objects 1 and 3 is sought, emphasizing the importance of understanding the graph's representation of mass. Overall, the slope of the force-acceleration graph is critical for determining the masses of the objects involved.
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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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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.
 
Last edited:
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
 
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?
 
the slope of the force acceleration graph represents mass
 
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