B Measurement and Uncertainities

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The discussion focuses on understanding how to find the slope (or gradient) of a straight line using the formula (y2 - y1)/(x2 - x1). Participants clarify that the values 0.039 and 7.88 represent specific points on a graph, with 0.039 m corresponding to 7.88 N in SI units. Choosing extreme points, such as the origin and the highest value, minimizes error in slope calculations. The conversation emphasizes that using points that are too close can lead to larger estimation errors. Overall, the importance of selecting appropriate points for accurate measurements is highlighted.
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Can you guys help me, I do not understand this page.
77C90D88-1D44-42C0-B56F-03FC34E1C836_1_105_c.jpeg


Can someone explain this page to me please, Especially the part where it says (0.0390, 7.88).

By the way, I am new here.
 
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Do you understand how you must proceed to find the slope (or gradient) of a straight line? If so, please post an explanation to make sure that you do.
 
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kuruman said:
Do you understand how you must proceed to find the slope (or gradient) of a straight line? If so, please post an explanation to make sure that you do.

Yeh, It is just (y2 - y1)/(x2 - x1)Here what I don't understand is why are they choosing 0.039 as a x value why can't they choose another point.
 
Anonymous1 said:
Yeh, It is just (y2 - y1)/(x2 - x1)Here what I don't understand is why are they choosing 0.039 as a x value why can't they choose another point.
You will notice that they chose the extreme points on the graph, the origin and the highest value. This reduces the error when you do the division. If the points are too close to each other, then the error in the estimate will be larger.

On edit: 0.039 m = 3.9 cm. That's the value in SI units at which the force is 7.88 N.
 
kuruman said:
You will notice that they chose the extreme points on the graph, the origin and the highest value. This reduces the error when you do the division. If the points are too close to each other, then the error in the estimate will be larger.

Oh yeh true,
thank you so much
 
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