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Physics Formula Calculator & Constants

Master modern physics solver: E = mc², photon energy E = hf, simple harmonic pendulum, and De Broglie wavelengths.

Einstein’s Mass-Energy Equivalence

Formula: E = m · c²  •  c = 299,792,458 m/s

Special Relativity
Physical Model: Mass Annihilation & EM EmissionmRest Mass 0.001 kg× c²8.988×10¹⁶ J/kgγ photonE = mc²γ photon8.98755e+13 Joules
Equivalent Total Energy Released
8.98755e+13 Joules
TNT Equivalent
0.021 Megatons
Electricity Generation
2.4965e+7 kWh
Nuclear Scale
5.6096e+26 MeV
Step-by-Step Mathematical Derivation
1. Mass in SI Base Units: m = 0.001 kg = 1.0000e-3 kg
2. Speed of Light Squared: c² = (299,792,458 m/s)² = 8.98755e+16 m²/s² (or J/kg)
3. Total Energy: E = m · c² = (1.0000e-3 kg) × (8.98755e+16 J/kg) = 8.98755e+13 Joules
4. Multi-Unit Conversions:
   • TNT Equivalent: 0.0215 Megatons TNT
   • Electric Utility: 2.4965e+7 kWh
   • Nuclear Scale: 5.6096e+26 MeV

What is Modern Physics?

Modern physics encompasses relativity and quantum mechanics, describing matter and energy at astronomical and subatomic scales.

Formula & Step-by-Step Calculation

E = mc², E = hf, λ = h / p

Landmark equations of Einstein, Planck, and De Broglie.

Worked Step-by-Step Examples

Example 1

Energy in 1 gram (0.001 kg) of matter

Solution: 8.988 × 10¹³ Joules (≈ 21.48 Kilotons TNT)
• 0.001 × (299792458)² ≈ 8.988 × 10¹³ J

Common Real-World & Academic Use Cases

  • ✓ Nuclear fission and fusion energy release
  • ✓ Photoelectric effect photon thresholds
  • ✓ Electron microscope wavelength resolution

How to Use the Physics Formula Calculator & Constants

1

Select Landmark Formula

Choose E=mc², E=hf, Pendulum, or De Broglie.

2

Enter Variables

Input parameters.

3

Read Energy / Wavelength

Inspect exact values.

Frequently Asked Questions

Q: What is Planck's constant h?

h ≈ 6.62607015 × 10⁻³⁴ Joule-seconds (J·s).

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