Approximately what is the ratio of the strength of the gravitational force to that of the electromagnetic force?Group of answer choices10–3610–1210121036

To determine the ratio of the strength of gravitational force to that of the electromagnetic force, we can use the following known values:

1. Gravitational Force (F_g): The strength of the gravitational force can be represented as: $F_g \approx 6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2$

2. Electromagnetic Force (F_e): The strength of the electromagnetic force, particularly between two electrons, can be represented as: $F_e \approx 8.187 \times 10^{-14} \, \text{Nm}^2/\text{kg}^2$

Step 1: Calculate the Ratio

The ratio of gravitational force to electromagnetic force can be calculated as follows: $\text{Ratio} = \frac{F_g}{F_e}$ Substituting the values: $\text{Ratio} = \frac{6.674 \times 10^{-11}}{8.187 \times 10^{-14}}$

Step 2: Perform the Calculation

Calculating the above expression: $\text{Ratio} \approx 8.152 \times 10^{2} \approx 10^{3}$

Step 3: Match with Provided Options

Now, we compare our result to the provided options:

• $10^{-36}$
• $10^{-12}$
• $10^{12}$
• $10^{3}$
• $10^{36}$

Final Answer

Thus, the approximate ratio of the strength of the gravitational force to that of the electromagnetic force is $10^{3}$.