How does the gradient of the graph compare to the W force

AI Thread Summary
The discussion focuses on understanding the relationship between the gradient of a mass versus 1/acceleration graph and weight force. The gradient, calculated as 11/20, is compared to the weight force derived from W = mg, where the mass is 0.001 kg and gravity is 9.8 m/s², resulting in W = 0.0098 N. Participants clarify that in this context, the formula F = ma should be rearranged to fit the graph's format, with mass as the dependent variable and 1/acceleration as the independent variable. There is confusion regarding which force is represented by F in the experiment, emphasizing the need for clear definitions. Understanding the slope's representation in terms of the graph's coordinates is crucial for accurate analysis.
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Homework Statement


How does the gradient of the graph compare to the weight force?
The graph is a Mass vs 1/Acceleration graph (y axis = mass, x-axis = Acceleration, It was mentioned to do this.)

Homework Equations


Explain by referring to the formula for Newton's Second Law.

The Attempt at a Solution



I know that F = m * a
Could someone explain what must be done and what the use of a reciprocal is?

Thanks!
 
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Hi,
The slope of the graph from the line of best fit is 11/20.
The problem I am having is with the comparison of the slope to the weight force which I calculated to be
W = m * g mass of 1 gram = 0.001 KG

W = 0.001 * 9.8

W = 0.0098 N
upload_2017-6-19_22-19-58.png
 
You quote F=ma. I'm not sure which force F represents in your experiment, but I assume it is not the weight of the mass, although you mention W=mg in the later post.

You are used to graphs like y=slope * x. Here, you have y standing for m and x standing for 1/a. So rearrange your F=ma into the form y = slope * x.
 
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