Let's break down the solution step by step.
### Step 1: Determining the acceleration due to gravity
The acceleration due to gravity for any object, including the washers, is always assumed to be [tex]\( \boxed{10} \)[/tex] m/s².
### Step 2: Converting mass from grams to kilograms
We are given that the mass of 3 washers is 14.7 grams. To convert this mass to kilograms:
[tex]\[
\text{Mass of 3 washers in kg} = \frac{14.7 \text{ g}}{1000} = \boxed{0.0147} \text{ kg}
\][/tex]
### Step 3: Calculating the applied force of the washers on the car
To find the applied force, we use the formula:
[tex]\[
F = m \times a
\][/tex]
Here:
- [tex]\( m \)[/tex] is the mass of the washers in kg (which we just found to be 0.0147 kg).
- [tex]\( a \)[/tex] is the acceleration due to gravity (10 m/s²).
Thus, the applied force [tex]\( F \)[/tex] is:
[tex]\[
F = 0.0147 \text{ kg} \times 10 \text{ m/s}^2 = \boxed{0.147} \text{ N}
\][/tex]
### Summary in Table
We can now fill in the missing parts of the table:
[tex]\[
\begin{tabular}{|c|c|c|c|c|c|}
\hline \begin{tabular}{c}
Number \\
of \\
washers
\end{tabular} & \begin{tabular}{c}
Mass of \\
washers \\
$m_w(g)$
\end{tabular} & \begin{tabular}{c}
Mass of \\
washers \\
$m _w(kg)$
\end{tabular} & \begin{tabular}{c}
Acceleration \\
due to gravity \\
$a _g\left(m / s ^2\right)$
\end{tabular} & \begin{tabular}{c}
Force of \\
gravity on the \\
washers \\
$F _g\left(kg \cdot m / s ^2\right)$
\end{tabular} & \begin{tabular}{c}
Applied force \\
of washers \\
on the car \\
$F_{w e}(N)$
\end{tabular} \\
\hline 1 & 4.9 & 0.0049 & 10 & 0.049 & 0.049 \\
\hline 3 & 14.7 & 0.0147 & 10 & 0.147 & 0.147 \\
\hline
\end{tabular}
\][/tex]
From the table and our calculations, we conclude:
- The acceleration due to gravity for any object, including 1 washer on the string, is always assumed to be [tex]\( \boxed{10} \)[/tex] m/s².
- The mass of 3 washers, when converted to kg, is [tex]\( \boxed{0.0147} \)[/tex] kg.
- The applied force of 3 washers will increase the applied force on the car to [tex]\( \boxed{0.147} \)[/tex] N.
