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Convert 75 kg into energy, in joules.

Question

Convert 75 kg into energy, in joules.

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Solution 1

To convert mass (in this case, 75 kg) into energy, we 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.

Step 1: Identify the mass (m) and the speed of light (c). The mass is given as 75 kg. The speed of light is a constant, approximately 3 x 10^8 meters per second.

Step 2: Plug the values into the equation. E = 75 kg * (3 x 10^8 m/s)^2.

Step 3: Calculate the energy (E). E = 75 kg * 9 x 10^16 m^2/s^2 = 6.75 x 10^18 joules.

So, 75 kg of mass is equivalent to approximately 6.75 x 10^18 joules of energy.

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Solution 2

To convert mass (in kilograms) into energy (in joules), 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 in a vacuum.

Step 1: Identify the mass (m) and the speed of light (c). In this case, m = 75 kg and c = 299,792,458 m/s (speed of light).

Step 2: Plug the values into the equation. E = 75 kg * (299,792,458 m/s)^2

Step 3: Calculate the energy (E). E = 75 kg * (8.9875517923*10^16 m^2/s^2)

E = 6.7406638442*10^18 joules

So, 75 kg of mass is equivalent to approximately 6.74*10^18 joules of energy.

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