Question

Distance is measured in one dimension. Area is measured in two dimensions, so the unit is squared (m^2). Volume is measured in three dimensions (m^3). To which powers are mass and force raised?

Answer 1

force is measured in neutons and mass is measured in kg

Answer 2

Right, but I need to know which power the L value is raised to. Mass is measured in kg, which is L^3. (I don't understand why, but that's what I learned in class.) So if you plot mass on the y-axis and length on the x-axis, an isometric line would have a slope of 3. If you plotted area against mass, the slope would be 2/3. So I need to know what the slope would be if you plotted force against mass. Here is a picture of the original question, but it might not help: http://i.imgur.com/iZUOI.jpg

In this problem, "b" equals the slope of the line. Here are a couple more pictures to illustrate the problem:

http://i.imgur.com/pXf2n.png
http://i.imgur.com/KLA2Z.png

In each of these problems, the slope of the line is equal to the power of the L on the y-axis over the power of L on the x-axis. So I need to figure out the power of L for force and put that over mass, which is L^3.

Answer 3

MASS is a fundamental unit u cannot write in other terms and what do u mean by L here

Answer 4

Mass is a fundamental unit, but in class we say it's "L^3". I don't know exactly what that means, but it has to do with dimensions I guess. You can see it in this picture: http://i.imgur.com/KLA2Z.png. Here, my professor is comparing area vs mass and volume vs mass. He wrote "L^3" next to mass and "L^2" next to area.

He also said that energy is "L^5" because it's equal to (.5)mv^2, which is L^3(L/T)^2 and 3+2=5. Here's another picture from our notes: http://i.imgur.com/Oluae.png