What does a slope of force vs displacement graph represent?

Answer 1

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 from

a point x1, to point x2, represents the work done by the force;

W =

⌠Fdx

If the force is constant from x1 to x2, then; W =

F∙(x

2 - x1)

The slope of the curve at a given value of x, (dF

/dx),

tells us how the force F is

varying 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.

Answer 2

If you are applying a constant net force to an object and measuring the acceleration as you change mass, the graph of acceleration (y-axis, dependent variable) vs mass (x-axis, independent variable) would be hyperbolic. Acceleration is inversely proportional to mass. If you then graph acceleration (on the y-axis) vs 1/mass (on the x-axis), the slope would be your constant net force (Fnet). For a graph of 1/mass (on the y-axis) vs acceleration (on the x-axis), the slope would be 1/Fnet. This relationship is shown by Newton's second law, Fnet=ma or a=Fnet/m.

Answer 3

Nothing. Because Force divided by mass is acceleration and you get expect to get something by taking gradient of acceleration-acceleration graph. Most probably you mistyped the question. Check again so that a better answer may be provided.

Answer 4

Acceleration vs. mass is a curved graph. You need calculus to figure that out and it depends at what point on the graph you want the slope. You have to use the process of differentiating.

^ Wow dude... No WAY! -_-

You don't need differentiating at all. The gradient of the graph represents the force acting on the mass. First you need to make the graph linear, by making it a- 1/mass (on the X axis) vs acceleration ms-2 (on the Y axis). Then you have a linear graph. By using the Calculus formula Y2-Y1/X2-X1 you can get the gradient of the graph, which represents the force acting on the mass in N (newtons)

Answer 5

It is equal to the mass of the object being accelerated.

f = ma y = mx (m = gradient)

Answer 6

da frenchman gogo it represents the meanings of the third force called muth. with counteract the action of both of these amazing amzing forces. they make me giidy.

Answer 7

I believe that would be force.