E = mc2, where E is energy in Joules, m is mass in kg, and c is speed of light,
3.0 x 108m/s.
E = mc2 = 5.0kg x (3.0 x 108m/s)2 = 4.5 x 1017kg•m2/s2 = 4.5 x 1017Joules
================================
If E = m c2 ... and I have neither cause nor desire to dispute the claim ...
then
E = (5) x (3 x 108)2 = 4.5 x 1017joules.
Technically and mathematically, that's the complete answer. But for most of us,
there's nothing to say 'Wow' about yet. It doesn't mean anything without a
comparison.
I looked around for something to compare it to. Here's a paragraph I found on line.
I'll copy it here, with a warning: While handling it, I accidentally learned something:
"Braidwood Generating Station is located in Will County in northeastern Illinois, USA.
The nuclear power plant serves Chicago and northern Illinois with electricity. The plant
was originally built by Commonwealth Edison company, and subsequently transferred
to Com Ed's parent company, Exelon Corporation. This station has two Westinghouse
pressurized water reactors. Unit #1 came online in July 1987. Unit #2 came online in
May 1988. The units are licensed by the Nuclear Regulatory Commission to operate
until 2026 and 2027. The recent power uprates at Braidwood make it the largest
nuclear plant in the state, generating a net total of 2,242 megawatts."
OK. Right at the end there, those numbers, that's what I was looking for.
Braidwood is the largest nuclear plant in Illinois, and when it runs wide open,
pedal to the metal, it can deliver 2,242 megawatts.
At that rate, how long would it take Braidwood to deliver 4.5 x 1017 joules,
running around the clock, with no lunch breaks ?
The answer I get is: Almost 6.4 years .
Now we have something to 'Wow' about.
The mass of an object is typically measured in kilograms (kg). So, if an object has a mass of 50 kg, it would be equivalent to 50,000 grams.
The nuclear binding energy of an atom with a mass defect of x kg can be calculated using Einstein's mass-energy equivalence formula, E=mc^2, where E is the energy equivalent of mass defect x kg. This energy represents the energy required to hold the nucleus together and is a measure of the stability of the atom.
The gravitational potential energy is dependent on the mass and height of the object. Assuming both stones are at the same height, the 70-kg stone would have more gravitational potential energy due to its greater mass.
It is 110.231 lbs (approx.). Kilogram is the SI unit of mass and pound is an imperial unit of mass. To convert from kg to pound, multiply the kg unit by 2.20462.
The potential energy of the 150 kg mass can be calculated using the formula: PE = mgh, where m is the mass (150 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (50 m). PE = 150 kg * 9.8 m/s^2 * 50 m = 73,500 J Therefore, the potential energy of the mass is 73,500 Joules.
The mass of an object is typically measured in kilograms (kg). So, if an object has a mass of 50 kg, it would be equivalent to 50,000 grams.
Any mass has an energy equivalent, and any energy has a mass equivalent. This formula gives the conversion factor: 1 kg of mass is equivalent to mc2 joules of energy, that is, to (1 kg) x (3 x 108 m/s)2, or 9 x 1016 joule.
The nuclear binding energy of an atom with a mass defect of x kg can be calculated using Einstein's mass-energy equivalence formula, E=mc^2, where E is the energy equivalent of mass defect x kg. This energy represents the energy required to hold the nucleus together and is a measure of the stability of the atom.
50 Kg of course !
Mass = sg * volume = 0.82 * 50 kg = 41 kg
You need to convert the 2 kg to grams, then divide the equivalent in grams by 50 grams.
The gravitational potential energy is dependent on the mass and height of the object. Assuming both stones are at the same height, the 70-kg stone would have more gravitational potential energy due to its greater mass.
It is 110.231 lbs (approx.). Kilogram is the SI unit of mass and pound is an imperial unit of mass. To convert from kg to pound, multiply the kg unit by 2.20462.
50 pounds = 22.68 kilograms.
The potential energy of the 150 kg mass can be calculated using the formula: PE = mgh, where m is the mass (150 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (50 m). PE = 150 kg * 9.8 m/s^2 * 50 m = 73,500 J Therefore, the potential energy of the mass is 73,500 Joules.
The gravitational potential energy of an object depends on its height above the reference point and its mass. Since both stones are at the same height, the stone with a higher mass (70 kg) will have more gravitational potential energy than the stone with a lower mass (50 kg) because it requires more work to lift the heavier stone to that height.
Kilogram (kg) is the SI unit of mass, so the mass is 4 kg in this case.