Force magnitude from acceleration vs. mass graph?

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SUMMARY

The discussion centers on determining the magnitude of a force from an acceleration versus mass graph. A participant, a university physics student, seeks clarification on how to derive force magnitude when given the graph of acceleration against mass. The response emphasizes the need to replot the data as acceleration versus the inverse of mass (1/mass) to facilitate the application of Newton's Second Law, which states that force equals mass times acceleration (F = ma).

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Familiarity with graphing concepts in physics
  • Knowledge of inverse relationships in mathematics
  • Basic skills in interpreting scientific data
NEXT STEPS
  • Learn how to plot acceleration versus 1/mass for better analysis
  • Study Newton's Second Law in detail to understand force calculations
  • Explore examples of force calculations from various graphs
  • Review concepts of slope and its physical significance in graphs
USEFUL FOR

This discussion is beneficial for university physics students, educators teaching mechanics, and anyone interested in understanding the relationship between force, mass, and acceleration through graphical representation.

lawsonj
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I am a new university physics student doing some homework, but i cannot find the method for this problem.

How do I find the magnitude of a force from an acceleration vs. mass graph?

I know mass is the inverse of the slope of an acceleration vs. force graph, but I'm not sure how to do this the other way around.

Any help?
Thank you !
 
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lawsonj said:
I am a new university physics student doing some homework, but i cannot find the method for this problem.

How do I find the magnitude of a force from an acceleration vs. mass graph?

I know mass is the inverse of the slope of an acceleration vs. force graph, but I'm not sure how to do this the other way around.

Any help?
Thank you !

Your question makes no sense. If you are plotting acceleration vs. mass, you must be plotting the response of numerous different objects (having different masses) and being subject to some forces, leading to some accelerations, possibly different for each of the different objects.
 
lawsonj said:
How do I find the magnitude of a force from an acceleration vs. mass graph?

I would replot acceleration vs 1/mass.
 
Ray Vickson said:
Your question makes no sense. If you are plotting acceleration vs. mass, you must be plotting the response of numerous different objects (having different masses) and being subject to some forces, leading to some accelerations, possibly different for each of the different objects.

yes. it may be multiple objects, but there is only 1 force acting on them. I'm assigned to find the magnitude of that force.

"The following figure shows the acceleration of objects of different mass that experience the same force."
"What is the magnitude of the force? "
 
CWatters said:
I would replot acceleration vs 1/mass.

how would that let me find the magnitude of the force?

We just started this chapter and I guess the book assumes you know how to find the magnitude from the graph. I don't know how to do that.
 
lawsonj said:
how would that let me find the magnitude of the force?

We just started this chapter and I guess the book assumes you know how to find the magnitude from the graph. I don't know how to do that.

Use Newton's Second Law.
 

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