Mehsan’s Law of Resonant Energy

Mehsan’s Law of Resonant Energy – A New Discovery in Physics (2025)

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🔬 Introduction

In 2025, I, Mehsan, introduced a new concept in physics called Resonant Energy. This discovery proposes a fresh formula that connects kinetic energy with time and frequency — expanding our understanding of motion and energy in resonant systems.

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⚡ The Formula:

Er = 1/2 m v². f.t

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📖 What Each Symbol Represents:

 Er= Resonant Energy (in Joules)

m = Mass of the object (kg)

v = Velocity (m/s)

f = Frequency of motion (Hz)

t = Time over which the object resonates (s)

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🧠 Explanation of the Law:

This formula suggests that resonant energy is directly proportional to:

The kinetic energy of the object ()

The frequency of motion

The duration over which resonance is maintained

> "When an object moves with repeated motion for a certain time, its resonant energy grows, combining energy of motion, frequency, and time into one dynamic expression."

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🛠️ Potential Applications:

Vibration energy harvesting

Resonant mechanical systems

Robotics and oscillating machines

Advanced energy models in theoretical physics

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🧾 About the Discoverer:

This law was proposed by Mehsan, a student and science innovator, in 2025.

With curiosity and a deep passion for physics, I present this idea to the world to be explored, tested, and improved.

Mehsan’s Law of Resonant Energy: Derivation

✅ Formula:

 Er = 1/2 m v². f.t

Where:

 Er= Total Resonant Energy

 m= Mass of the oscillating object

v = Velocity of the object at resonance

 f= Frequency of external force applied

t = Total time the system remains in resonance

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🔬 Step-by-Step Derivation:

Step 1: Kinetic Energy per Cycle

In each resonance cycle, the external force causes the system (like a mass-spring or a mechanical oscillator) to move with velocity .

The kinetic energy transferred to the system in each cycle is:

KE = 1/2 mv²

This is the energy input per resonance cycle.

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Step 2: Number of Cycles in Time t

The  force is applied at a frequency f , meaning:

 f cycles per second

In t seconds, there are f.t cycles 

So, the energy keeps building up every cycle.

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Step 3: Total Resonant Energy Accumulated

Multiply energy per cycle with the total number of cycles:

Er = (1/2 mv²). (f.t)

Er = 1/2 mv² .f.t

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🔍 Interpretation:

This formula tells us that:

The greater the velocity, mass, frequency, or duration of resonance,

the more energy gets stored in the system.

It shows how resonance amplifies energy over time through repeated motion.

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🧪 Notes:

This formula is ideal for systems with constant velocity at resonance.

It assumes energy is add

ed uniformly each cycle, which fits light damping or simplified conditions.