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Let us suppose we are plotting y vs x and obtain a straight line. Then we pick a set of two coordinates, x1,y1 and x2,y2 The slope, M, is then given by the equation
M (y2-y1)/(x2-x1) If we apply this to a force vs mass graph, we obtain the expression
M (F2-F1)/(m2-m1),but F ma according to Newton's second law, where a is the acceleration, which leads to
(m2a2-m1a1)/(m2-m1), but if a2 a1 a, as it will if the line is straight, then
M a(m2-m1)/(m2-m1) a, so the slope, M, of your graph is acceleration.
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When can the slope of a graph represent density-?
When the vertical axis represents "number of things" and the horizontal represents "volume of the thing"---slope is change in vertical over change in horizontal, so units of the slope would be "number/volume", which is density.
What type of data must be plotted on a graph for the slope of the line to represent density?
Density is defined as mass/volume, and since slope is rise/run, with the rise being the y-axis and the run the x-axis, mass should be the y-axis and volume the x-axis. For example, you would put grams on the y-axis and ml on the x-axis.
What is the slope of y equals -3 and x equals -2?
-1
What represents acceleration on a graph?
The answer depends on the variables in the graph! In a graph of age against mass there is nothing that represents acceleration.
Force divided by mass equals?
Newton's Second Law: force = mass x acceleration. Rearranging the equation, you see that force / mass = acceleration.
What is the relationship between gravitational force and mass for objects near the surface of earth when the slope of the graph is equal?
The answer depends on the slope of which graph.
What does the slope of mass vs volume graph represent?
The slope of a mass vs volume graph represents the density of the material being measured. Density is a measure of how much mass is contained in a given volume of a material. The steeper the slope, the higher the density of the material.
What does the slope of mass vs weight graph represent?
The slope of a mass vs weight graph represents the acceleration due to gravity. This value is consistent and is approximately 9.81 m/s^2 on Earth's surface.
What physical property does the slope of a velocity-time graph represent?
AnswerWhen the mass of a material is plotted against volume, the slope of the line is the density of the material.
What variables represent force mass and acceleration?
Usually time but it could depend on the specific graph.
Plot the graph of force vs acceleration?
The graph of force vs acceleration typically shows a linear relationship as described by Newton's Second Law, which states that force is directly proportional to acceleration. As acceleration increases, the force required to achieve that acceleration also increases. The slope of the graph represents the mass of the object, with a steeper slope indicating a greater mass.
What does a slope of force vs displacement graph represent?
A curve of a force F, vs displacement x (F vs x), represents the magnitude of a force as it is producing a displacement of a body. The area under the curve froma point x1, to point x2, represents the work done by the force;W =⌠FdxIf the force is constant from x1 to x2, then; W =F∙(x2 - x1)The slope of the curve at a given value of x, (dF/dx),tells us how the force F isvarying with displacement x at that point.For the case of a constant force, the value of the slope is zero, (dF/dx=0),meaning that the force is not varying as the displacement takes place.
When can the slope of a graph represent density-?
When the vertical axis represents "number of things" and the horizontal represents "volume of the thing"---slope is change in vertical over change in horizontal, so units of the slope would be "number/volume", which is density.
How are slope of the line and density of the material related?
Density is the slope of the line. density = mass/volume = constant. Since mass and volume have a linear relationship, then that constant is also the slope of the line on a graph of a comparison of mass to volume ratios.
Why is the slope of the force versus acceleration plot equal to the object's mass?
The slope of the force versus acceleration plot is equal to the object's mass because acceleration is directly proportional to force when mass is constant (F = ma). Therefore, the slope represents the ratio of force applied to the resulting acceleration, which is mass in this case.
Which conclusion about density can be drawn from this graph?
The conclusion that can be drawn from this graph is that as the mass of an object increases, its density also increases. This is indicated by the positive slope of the line on the graph, showing a direct relationship between mass and density.
Why is it important to remove the mass from the cart and place it on the hanger-Force and Acceleration Experiment?
if on inclined plane, the force acting down slope, is sin slope angle * mass even if you change the mass, the force/mass ratio remains the same, so acceleration remains the same. a=f/m
