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

In summary, the conversation discusses the comparison between the gradient of a graph and the weight force, specifically in the context of a Mass vs 1/Acceleration graph. The formula for Newton's Second Law, F = m * a, is referenced and the use of a reciprocal is mentioned. Further, the conversation also touches on the representation of slope on a line and the calculation of weight force using the formula W = m * g.
  • #1
Orm25
2
0

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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  • #2
How is the slope of a line represented in terms of x and y co-ordinates of a point on the line (assuming the line passes through (0,0))?
 
  • #3
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
 
  • #4
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.
 

1. How does the gradient of the graph relate to the W force?

The gradient of a graph represents the slope of the line, which is a measure of how rapidly the dependent variable (y-axis) changes with respect to the independent variable (x-axis). Therefore, the gradient of the graph can be used to determine the rate of change of the W force.

2. Does a steeper gradient indicate a stronger W force?

Not necessarily. A steeper gradient indicates a greater rate of change, but the actual strength of the W force would depend on the specific values of the independent and dependent variables. It is possible for a weaker W force to have a steeper gradient if the independent variable changes more rapidly.

3. Can the gradient of the graph be negative when considering the W force?

Yes, the gradient of a graph can be negative. This would indicate that the W force is decreasing as the independent variable increases. It does not necessarily mean that the W force is weaker, as it could be decreasing at a slower rate.

4. How can I use the gradient of the graph to calculate the W force?

To calculate the W force using the gradient of the graph, you would need to know the specific equation or relationship between the independent and dependent variables. From there, you can use the gradient to determine the rate of change and calculate the W force at a specific point on the graph.

5. Is there a direct relationship between the gradient of the graph and the W force?

Not necessarily. While the gradient can provide information about the rate of change of the W force, it does not always directly correspond to the actual strength of the force. Other factors, such as the specific equation or relationship between the variables, can also influence the W force.

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