Note:
This tool calculates the Potential Energy and Kinetic Energy of an object based on the principle of energy conservation:
It helps in understanding how energy transforms from potential to kinetic as an object moves.
Understanding Parameters:
- Mass (m) [kg]: The amount of matter in the object.
- Height (h) [m]: The vertical distance of the object from a reference level.
- Velocity (u) [m/s]: The speed of the object when it reaches the lower reference level.
- Gravitational Acceleration (g) [m/s²]: The acceleration due to gravity (9.81 m/s² on Earth).
According to this equation, an object’s potential energy at a height (\( h \)) converts into kinetic energy as it falls.
Since mass (\( m \)) is present on both sides, it cancels out.
Key Applications:
- Physics & Engineering: Used to analyze energy transformations in mechanical systems.
- Hydropower Systems: Helps calculate energy conversion in dams and turbines.
- Projectile Motion: Determines the velocity of an object falling freely under gravity.
- Safety Analysis: Evaluates the impact energy of falling objects to prevent hazards.
Validations & Input Constraints:
- Mass (m) must be positive:
- Mass represents the physical substance of an object and cannot be zero or negative.
- If an invalid input is entered, an error message will be displayed.
- Height (h) must be positive:
- Height represents the vertical distance, and must be greater than zero.
- If an invalid input is entered, an error message will be displayed.
- Velocity (u) must be calculated from valid inputs:
- Velocity is determined using the equation \( u = \sqrt{2gh} \).
- If an invalid height is entered, velocity cannot be computed.
- At least height must be provided:
- Since mass cancels out, the calculation only depends on height.
- If height is missing or invalid, an error message will be displayed.
Conclusion:
This tool ensures accurate energy conservation calculations, assisting engineers, physicists, and industry professionals in analyzing energy transformations across various systems.