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What is the mass equivalent of 3.37 × 10−19 joule?

Question

What is the mass equivalent of 3.37 × 10−19 joule?

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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.

This problem has been solved

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