The amount of energy contained in the particle with the given value of mass is 9.0 × 10⁷ kgm²/s² or 9.0 × 10⁷ Joules.
Mass-Energy equivalence is simply the relationship between mass and energy in a system's rest frame. It states that Energy equals mass multiply by the speed of light squared.
E = mc²
Where E is energy, m is mass and c is the speed of light ( c = 3×10⁸m/s² ).
Given the data in the question;
E = mc²
E = (1 × 10⁻⁹kg) × ( 3×10⁸m/s )²
E = (1 × 10⁻⁹kg) × 9×10¹⁶m²/s²
E = 9.0 × 10⁷ kgm²/s²
Therefore, the amount of energy contained in the particle with the given value of mass is 9.0 × 10⁷ kgm²/s² or 9.0 × 10⁷ Joules.
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