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Mathematics 8 Online
OpenStudy (anonymous):

1) In a graph of acceleration vs. 1/mass, how can you tell that Fnet is constant? 2) Why is it necessary to balance the frictional force acting on the system with a slight tilting of the track?

OpenStudy (jamesj):

Net force = (mass) x (acceleration). Hence if the acceleration is constant given that mass is also constant, then the net force must also be constant.

OpenStudy (anonymous):

oh, I see, can I also say that the slope doesn't change?

OpenStudy (anonymous):

?

OpenStudy (jamesj):

If the slope is zero at part of the graph, then the function is constant on that part, yes.

OpenStudy (anonymous):

u mean if a point on the line is (0,0), then I can say that the slope is constant?

OpenStudy (jamesj):

But that is NOT the same thing as saying the slope doesn't change. If you're graphing acceleration against time, acceleration is not changing only if the graph is flat. If the graph is increasing with constant slope, then acceleration in increasing.

OpenStudy (jamesj):

For example, it looks like from t = 2 to 3, the acceleration here is flat, slope = 0. Therefore it is not changing.

OpenStudy (anonymous):

this is acceleration vs. 1/mass

OpenStudy (anonymous):

question is, how can u tell that Fnet is constant in an acceleration vs. 1/mass graph?

OpenStudy (jamesj):

I am graphing on the x-axis time and on the y-axis acceleration. What are you graphing?

OpenStudy (anonymous):

the graph is a diagonal line

OpenStudy (anonymous):

x-axis is 1/mass, not time lol and y-axis is acceleration

OpenStudy (anonymous):

2nd graph

OpenStudy (jamesj):

In which case, if F = constant = c, then as F = ma and x = 1/mass and y = a, then F = y/x = c => y = cx. So yes, in that case, F = constant if the graph is a straight line passing through the origin.

OpenStudy (anonymous):

wait, what else can I say besides: the graph is a straight line passing through the origin

OpenStudy (anonymous):

can u say anything about acceleration, 1/mass, slope?

OpenStudy (anonymous):

?

OpenStudy (jamesj):

The slope of the graph is the force, F. As F = c and y = cx = Fx

OpenStudy (anonymous):

so basically I can say that the slope is constant right?

OpenStudy (jamesj):

This is a slightly bizarre way of thinking about this. Provided F is constant, yes.

OpenStudy (anonymous):

how about acceleration and 1/mass

OpenStudy (anonymous):

can I say both are constant?

OpenStudy (jamesj):

F = ma. Absolutely no, they are not constant. That's what you are varying in this experiment.

OpenStudy (anonymous):

oh, so I can only say 2 things: The graph is a straight line passing through the origin, and the slope is constant. In this case, the net force is equal to the slope. ?

OpenStudy (jamesj):

yes.

OpenStudy (jamesj):

Are you a teacher?

OpenStudy (anonymous):

no, student

OpenStudy (anonymous):

ur a teacher?

OpenStudy (jamesj):

One time University Lecturer, yes.

OpenStudy (anonymous):

nice :)

OpenStudy (jamesj):

ok. I've got other fish to fry. Good luck.

OpenStudy (anonymous):

Last question : Why is it necessary to balance the frictional force acting on the system with a slight tilting of the track?

OpenStudy (anonymous):

that's it after this one

OpenStudy (anonymous):

a cart was rolling on a track

OpenStudy (anonymous):

???

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