What is the mass equivalent of 3.37 × 10−19 joule?
Question
What is the mass equivalent of 3.37 × 10−19 joule?
Solution
To find the mass equivalent of energy, we can use Einstein's mass-energy equivalence principle, which is represented by the equation E=mc^2. Here, E is energy, m is mass, and c is the speed of light.
Given: E = 3.37 × 10^-19 joule c = 3 × 10^8 m/s (speed of light)
We need to find m.
Rearranging the equation, we get m = E/c^2.
Substituting the given values, we get m = (3.37 × 10^-19 joule) / (3 × 10^8 m/s)^2.
Solving this, we get m = 3.74 × 10^-36 kg.
So, the mass equivalent of 3.37 × 10^-19 joule is 3.74 × 10^-36 kg.
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