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The question asks to calculate the gravitational field strength between the Earth and the Sun using the given values:

### Given Data
1. Gravitational constant, \( G = 6.7 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
2. Mass of the Earth, \( M_e = 6.0 \times 10^{24} \, \text{kg} \)
3. Mass of the Sun, \( M_s = 2.0 \times 10^{30} \, \text{kg} \)
4. Distance between Earth and the Sun, \( r = 1.5 \times 10^{11} \, \text{m} \)

### Formula for Gravitational Field Strength
The gravitational field strength \( g \) due to a mass \( M \) at a distance \( r \) is given by:

\[
g = \frac{GM}{r^2}
\]

Since we are calculating the gravitational field strength at Earth due to the Sun's mass, we use the Sun's mass \( M_s \) and the Earth-Sun distance \( r \).

### Calculation
\[
g = \frac{(6.7 \times 10^{-11}) \times (2.0 \times 10^{30})}{(1.5 \times 10^{11})^2}
\]

1. **Calculate \( (1.5 \times 10^{11})^2 \):**
   \[
   (1.5 \times 10^{11})^2 = 2.25 \times 10^{22} \, \text{m}^2
   \]

2. **Calculate the numerator:**
   \[
   6.7 \times 10^{-11} \times 2.0 \times 10^{30} = 1.34 \times 10^{20} \, \text{Nm}^2/\text{kg}
   \]

3. **Calculate \( g \):**
   \[
   g = \frac{1.34 \times 10^{20}}{2.25 \times 10^{22}}
   \]

4. **Result:**
   \[
   g = 5.96 \, \text{N/kg}
   \]

### Answer
The gravitational field strength due to the Sun at the Earth's location is approximately \( 5.96 \, \text{N/kg} \).

Would you like more details on each calculation step or have any questions?

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Here are 5 related questions to expand your understanding:
1. How would the gravitational field strength change if the distance between Earth and the Sun increased?
2. What is the gravitational force exerted by the Sun on the Earth?
3. How would you calculate the gravitational field strength at the surface of a planet?
4. What would happen to the gravitational field strength if the mass of the Sun doubled?
5. How is gravitational field strength different from gravitational force?

**Tip:** Remember that gravitational field strength decreases with the square of the distance, meaning that even a small increase in distance greatly reduces the field strength.

Calculate the gravitational field strength between the Earth and the Sun using the given values.

Learn how to calculate the gravitational field strength between Earth and the Sun. Given values include Earth's mass, Sun's mass, and the Earth-Sun distance. Explore the gravitational field strength formula step-by-step, ideal for high school students in Grades 10-12.

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