- #1
Himal kharel
- 79
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can someone explain physically why escape velocity is independent of angle of projection.
Escape velocity is the minimum velocity required for an object to escape the gravitational pull of a massive body, such as a planet or a star. This means that no matter what angle the object is projected at, it will still need to reach the same velocity in order to escape. This is because the escape velocity formula takes into account the mass and radius of the object, but not the direction of the velocity.
Yes, that is correct. The angle of projection does not have any impact on the escape velocity. This is because the gravitational force acting on the object will always be in the direction of the center of the massive body, regardless of the angle of projection. Therefore, the only factor that affects the escape velocity is the mass and radius of the object.
The escape velocity can be calculated using the formula v = √(2GM/R), where G is the gravitational constant, M is the mass of the massive body, and R is the distance between the object and the center of the massive body. This formula is independent of the angle of projection and only takes into account the mass and radius of the object.
Yes, an object can achieve escape velocity at any angle of projection as long as it reaches the required velocity. However, the angle of projection may affect the trajectory of the object after it has reached escape velocity. For example, a projectile launched at a low angle may follow a parabolic path and eventually fall back to the surface of the massive body, while a projectile launched at a high angle may enter into orbit around the massive body.
Yes, there are many real-life examples of escape velocity being independent of angle of projection. One such example is space rockets launching from Earth. Whether they are launched at a low angle or a high angle, they still need to reach the same escape velocity in order to leave Earth's gravitational pull. Another example is space shuttles entering into orbit around Earth, where the angle of projection affects the shape of the orbit, but not the escape velocity itself.