Finding the Mass from an Acceleration vs Force graph

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SUMMARY

The discussion centers on confirming Newton's Second Law through a track and trolley experiment, where the mass of the trolley is kept constant at 752 grams, with additional weights ranging from 10g to 30g. The participant calculated the slope of the acceleration vs. force graph to be 2.6, leading to a derived mass of approximately 0.3846 kg. However, this value conflicts with the total mass of 787 grams when all components are summed. The discrepancy suggests a potential error in the experimental setup or calculations, particularly in measuring acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Familiarity with graphing techniques in physics
  • Basic knowledge of mass and weight measurements
  • Experience with motion sensors for measuring acceleration
NEXT STEPS
  • Review the principles of Newton's Second Law and its applications in experiments
  • Learn how to accurately use motion sensors for measuring acceleration
  • Explore methods for minimizing experimental errors in physics experiments
  • Investigate the relationship between force, mass, and acceleration through additional experiments
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Students conducting physics experiments, educators teaching Newton's laws, and anyone interested in understanding the practical applications of force and acceleration measurements.

Crovati
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I have to confirm Newtons 2nd law via a track and trolley experiment

Homework Statement



The trolley’s mass is kept constant.
The weight of the cart (252g) plus two bar weights (500g) is = 752 grams, plus additional weights of either, 10g, 15g, 20g, 25g or 30g for the different trials.

The acceleration weights are:
25g
20g
15g
10g
5g
for the different trials.

This is what i got in the end...

Acceleration mass (g)--------Force (N)-----------Average acceleration ms-2

---------5-----------------------0.049---------------------0.10
---------10----------------------0.098---------------------0.22
---------15----------------------0.147---------------------0.36
---------20----------------------0.196---------------------0.44
---------25----------------------0.245---------------------0.63


Homework Equations



F=ma


The Attempt at a Solution



I plotted an acceleration vs Force graph, which gave me slope=2.6. And I thought that since F=ma, then the slope would be 1/m = 1/2.6 =0.3846... kg.
If i’m thinking correctly then this should be the value for the mass of the trolley (the cart+the bar weights+the additional weights+acceleration mass)

But when i add all of the components of the trolley’s mass i get 787g...which is nowhere near 0.3846... kg.

I’m not sure what i’m doing wrong, or if I’m going about solving this in completely the wrong way. Or maybe i made a big error during the experiment?
 
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Crovati said:
But when i add all of the components of the trolley’s mass i get 787g...which is nowhere near 0.3846... kg.

No, but it's pretty near 2 x 0.3836 kg. How did you get the acceleration?
 
MrAnchovy said:
No, but it's pretty near 2 x 0.3836 kg. How did you get the acceleration?
We used a motion sensor which took the velocity/time for each trial. the Average acceleration I posted there is the average of 5 trials for each of the different acceleration masses.
 

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