Formula:
* g = GM/R²
Where:
* g = acceleration due to gravity
* G = gravitational constant (6.674 x 10⁻¹¹ m³ kg⁻¹ s⁻²)
* M = mass of the Sun (1.989 x 10³⁰ kg)
* R = radius of the Sun (6.96 x 10⁸ m)
Calculation:
* g = (6.674 x 10⁻¹¹ m³ kg⁻¹ s⁻²) * (1.989 x 10³⁰ kg) / (6.96 x 10⁸ m)²
* g ≈ 274 m/s²
Therefore, the approximate acceleration due to gravity at the Sun's surface is about 274 m/s². This is about 28 times stronger than Earth's gravity!
Important Note: This is just an approximation. The Sun is not a perfect sphere, and its density varies throughout its structure. This means the actual acceleration due to gravity can vary slightly across its surface.