Question

16. For this table of data, how should the y-axis be labeled (with units)?
mass (kg)
3.2
4.6
6.1
6.2
7.4
9.
10.4
10.9
newtons (m/s)
31.381
45.1 111
59.821
60.801
72.569
89.241
101.989
106.892
Oms'
mass (kg)
O newtons
O kg
mass
O newtons (m/s?)

Answer 1

Answer:

The y-axis should be labelled as W in Newtons (kg·m/s²)

Explanation:

The given data is presented here as follows;

Mass (kg)            ${}$        Newtons (kg·m/s²)

3.2                      ${}$           31.381

4.6             ${}$                    45.1111

6.1              ${}$                    59.821

7.4              ${}$                    72.569

9                ${}$                     89.241

10.4              ${}$                   101.989

10.9              ${}$                  106.892

From the table, it can be seen that there is a nearly linear relationship between the  amount of Newtons and the  mass, as the slope of the data has a relatively constant slope

Therefore, the data can be said to be a function of Weight in Newtons to the mass in kilograms such that the weight depends on the mass as follows;

W(m) in Newtons = Mass, m in kg × g

Where;

g is the constant of proportionality

Therefore, the y-axis component which is the dependent variable is the function, W(m) = Weight of the body while the x-axis component which is the independent variable is the mass. m

The graph of the data is created with Microsoft Excel give the slope which is the constant of proportionality, g = 9.8379, which is the acceleration due to gravity g ≈ 9.8 m/s²

We therefore label the y-axis as W in Newtons (kg·m/s²)