Understanding the Concept
* Gravity: Gravity is a force of attraction between any two objects with mass.
* Acceleration due to Gravity (g): This is the acceleration experienced by an object due to the gravitational pull of a planet or other celestial body. It's a measure of how strongly gravity pulls objects towards the center of the body.
Formula
The acceleration due to gravity (g) can be calculated using the following formula:
g = (G * M) / R²
Where:
* g: Acceleration due to gravity (m/s²)
* G: Universal gravitational constant (6.674 x 10⁻¹¹ N⋅m²/kg²)
* M: Mass of the celestial body (Pluto in this case) (kg)
* R: Radius of the celestial body (Pluto in this case) (m)
Finding the Values for Pluto
1. Mass of Pluto: 1.303 × 10²² kg
2. Radius of Pluto: 1.187 × 10⁶ m
Calculation
Now plug these values into the formula:
g = (6.674 x 10⁻¹¹ N⋅m²/kg² * 1.303 × 10²² kg) / (1.187 × 10⁶ m)²
g ≈ 0.62 m/s²
Conclusion
The acceleration due to gravity on the surface of Pluto is approximately 0.62 m/s². This is much less than the acceleration due to gravity on Earth (9.81 m/s²), meaning you would weigh much less on Pluto.
