Question

If you were to plot y versus m using the equation y = (g/k) m yo, how would you calculate the value for k?

Answer 1

To calculate the value for k using the equation y = (g/k) m yo, plot y against m to find the slope of the line, which is g/k, and then rearrange it to solve for k, which is k = g / slope.

Step-by-step explanation:

To calculate the value for k using the equation y = (g/k) m yo, one would typically plot y as a function of m (assuming g and yo are constants) and find the slope of the resulting line. The slope obtained from this graph would be equal to g/k. Therefore, you can rearrange the equation to solve for k: k = g / slope.

From a graph, if you plot y versus m and the slope of this line is the coefficient in front of m, by taking two known points on the graph, you can use the formula for the slope, m = Δy / Δx, to estimate the value of the slope. Using this slope value, you can then rearrange the original equation to solve for k, as mentioned above.

The gradient or slope is an important concept when understanding linear relationships in a plot. In the context of a graph, the slope, m, represents the change in the dependent variable as the independent variable changes. A linear regression can also be used to calculate a more precise value for the slope, especially with experimental data where a perfect fit is rare.

Answer 2

Equation is given as;

y = (g/k) yo

To find the value of “k”, divide both sides of the equation with yo;

y/yo = (g/k)yo/yo

it implies that;

y/yo = (g/k)

Now following steps will obtain the value of “k” as;

ky/yo = g

ky = gyo

k = gy0/y