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.
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.
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.
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The answer depends on the variables in the graph! In a graph of age against mass there is nothing that represents acceleration.
Newton's Second Law: force = mass x acceleration. Rearranging the equation, you see that force / mass = acceleration.
The answer depends on the slope of which graph.
The slop of a line which represents mass over volume would give you density.
AnswerWhen the mass of a material is plotted against volume, the slope of the line is the density of the material.
Usually time but it could depend on the specific graph.
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 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.
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.
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
two, one is the resultant weight on the slope and = cosine (slope angle) * mass two is the force on the object and acts parralel to the the slope and = sin (slope angle) * mass
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.
Mass vs Volume graphs have a positive slope and and y intercept of approximately zero
force directly proportional to acceleration. so F/a is remains constant. which is equal to mass of an object