the total mass-energy of one pound of anything is about how many joules
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To convert mass to energy, we can use the famous equation by Albert Einstein: E = mc², where E is the energy, m is the mass, and c is the speed of light in a vacuum (approximately 299,792,458 meters per second).
To find the total energy of one pound (1 lb) of anything, we need to convert pounds to kilograms. One pound is equivalent to approximately 0.4536 kilograms.
Let's calculate the energy:
m = 0.4536 kg
c = 299,792,458 m/s
E = mc²
= (0.4536 kg) × (299,792,458 m/s)²
E ≈ 4.085798793 × 10¹⁴ joules
Therefore, the total mass-energy of one pound of anything is approximately 4.085798793 × 10¹⁴ joules.
To calculate the total mass-energy of one pound (lb) of anything in joules (J), we can use Einstein's famous equation: E = mc².
Here's how you can calculate it step by step:
1. Convert pounds (lb) to kilograms (kg). Since 1 pound is approximately equal to 0.4536 kilograms, multiply the given weight (1 lb) by the conversion factor:
1 lb * 0.4536 kg/lb = 0.4536 kg.
2. Multiply the mass (m) in kilograms by the square of the speed of light (c), which is approximately 3 x 10^8 meters per second (m/s):
E = (0.4536 kg) * (3 x 10^8 m/s)².
3. Calculate the value of the equation to determine the mass-energy in joules:
E ≈ 0.4536 kg * (9 x 10^16 m²/s²) = 4.083 x 10^16 joules.
Therefore, the total mass-energy of one pound of anything is approximately 4.083 x 10^16 joules.