Why should a graph of mass against volume go through the origin?
Matter has mass so mass requires volume. If there is no Mass it occupies no volume. Therefore if there is zero mass of a substance there is zero volume. So the data point (0,0) is the starting point for all density graphs regardless of the substance being studied.
What does the fact that the lines are straight Tell us about the substance?
The straight line indicates that mass and volume are linearly related which means they are proportional to one another.
Does the slope of the line still represent the density of the material explain your answer?
The average density values are equal to that of the slope because they should be the same. Density is mass/volume or is the rise over run or y/x. The slope represents density.
What is the relationship between slope and density?
Since slope is equal to density, simply glancing at a mass versus volume graph can sometimes help you identify which of the two substances has a greater density. A steeper line indicates a greater slope and thus a greater density. So, whichever substance has a steeper line has a greater density.
Why must the line pass through the origin What gives you this data point?
The results of an experiment are often used to plot a graph. Think of the independent variable as the cause and the dependent variable the effect. If one variable is directly proportional to another variable, then a graph of these two variables will be a straight line passing through the origin of the axes.
Why does mass increase with volume?
As the volume of the material increases, the mass will also increase. The greater the volume of the object the greater the number of atoms present. This will result in the object having greater mass.
What does a straight line graph indicate?
Straight line graph signifies that the changes in the values of the quantities represented on the graph are proportional to each other, e.g., in simple pendulum, the straight line graph means l is proportional to T2, or l/T2 is constant. Slope of the straight line gives the value of the constant of proportionality.
Why do you think you were required to take three measurements for each experiment instead of just one?
Why do you think you were required to take three measurements for each experiment instead of just one? Taking three measurements minimizes the contribution of experimental error.
Why is density not an extensive property?
Density is an intensive property because there is a narrow range of densities across the samples. No matter what the initial mass was, densities were essentially the same. Since intensive properties do not depend on the amount of material, the data indicate that density is an intensive property of matter.
What does the slope represent?
The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in ‘y’ over the change in ‘x’, or the gradient of a line.
Is the slope of the line positive or negative Why?
A higher positive slope means a steeper upward tilt to the curve, which you can see at higher output levels. A negative slope that is larger in absolute value (that is, more negative) means a steeper downward tilt to the line. A slope of zero is a horizontal line. A vertical line has an infinite slope.
Does the line pass through the point?
Starts here3:40How to determine if a point lies on a line or not using the point andYouTube
How do you prove a line does not pass through the origin?
Thus, you can see that a line does not pass through the origin when c is not equal to 0 by ehat is hope is a simple explanation. You don’t need to know how to prove it, I presume, but that’s not too hard either. Oops, I realised that I just assumed you were talking about linear graphs.
Why does the graph not pass through the origin?
For graphs of the form y = ax^2 + bx, it will pass through the origin but the line of symmetry will be different. For graphs of the form y = ax^2 + bx + c (you know, where c is not zero) , the graph will not pass through the origin because the maximum/ minimum point is actually raised or lowered by c units.
What is the value of C when a line passes through origin?
The line represents possible values of x and y that satisfy the equation. So, when a line passes through the origin, it passes through the coordinates (0,0). x = 0, y = 0. So, let’s model this with the equation ax + by + c = 0. Sub in x = 0 and y = 0 to the equation and we find that 0 + 0 + c = 0. Clearly, c = 0.
Why does a line go through the origin of a line?
The answer is, “no reason; it just did”. Lines are like that. Most of the lines you can draw in an (x,y) plane will not go through the origin. In fact, 0\% of them will. Certainly an infinite number will; but a much larger infinite number won’t; and for every line that does, and infinite number of lines parallel to it won’t.
https://www.youtube.com/watch?v=b7UOmMfAbPs