Escape Velocity
* Definition: Escape velocity is the minimum speed an object needs to completely escape the gravitational pull of a celestial body (like a planet or star) and never return.
* Factors: Escape velocity depends on:
* Mass of the celestial body: The more massive the object, the stronger its gravitational pull, and the higher the escape velocity.
* Distance from the center of the celestial body: The closer an object is to the center, the stronger the gravitational pull, and the higher the escape velocity.
* Formula:
* vₑ = √(2GM/r)
* vₑ = escape velocity
* G = gravitational constant (6.674 × 10⁻¹¹ m³/kg s²)
* M = mass of the celestial body
* r = distance from the center of the celestial body
Example:
* Earth's escape velocity: Approximately 11.2 km/s (25,000 mph) at the surface. This means an object needs to be moving at least 11.2 km/s to escape Earth's gravity completely.
Key Points:
* No Atmosphere: The escape velocity formula assumes no air resistance. In reality, the atmosphere creates drag, so an object would need to go slightly faster than the calculated escape velocity to escape.
* Direction: The escape velocity doesn't depend on the direction of travel. An object could escape Earth's gravity by moving straight upwards or even horizontally at a high enough speed.
Let me know if you want to calculate the escape velocity for a specific celestial body!
