To compare the electrical force and the gravitational force between two protons, we'll use the values provided in the table:
- Electrical force: \( 6.26 \times 10^{-32} , \text{N} \)
- Gravitational force: \( 5.02 \times 10^{-68} , \text{N} \)
Now, we need to find the ratio of the electrical force to the gravitational force:
\[ \text{Ratio} = \frac{\text{Electrical force}}{\text{Gravitational force}} = \frac{6.26 \times 10^{-32}}{5.02 \times 10^{-68}} \]
Calculating the ratio:
\[ \text{Ratio} = \frac{6.26}{5.02} \times 10^{(-32) - (-68)} = \frac{6.26}{5.02} \times 10^{36} \]
Now calculating \( \frac{6.26}{5.02} \):
\[ \frac{6.26}{5.02} \approx 1.25 \]
Thus, the ratio can be expressed as:
\[ \text{Ratio} \approx 1.25 \times 10^{36} \]
This means the electrical force is approximately \( 1.25 \times 10^{36} \) times greater than the gravitational force.
From the options provided, the closest statement is:
The electrical force is 1.2 × 10³⁶ times greater than the gravitational force.
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