Convert 75 kg into energy, in joules.
Question
Convert 75 kg into energy, in joules.
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.
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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