Does 1 Joule of Energy Have a Distinct Mass?

  • Thread starter Thread starter aaronfranz
  • Start date Start date
  • Tags Tags
    Energy Matter
AI Thread Summary
The discussion centers on whether 1 joule of energy has a distinct mass, referencing the equation E=mc^2. By applying the formula m=E/c^2, the calculation shows that 1 joule of energy corresponds to a mass of approximately 1.11 x 10^-17 kg. This indicates that energy does have a measurable mass, albeit extremely small. The conversation also touches on the relationship between matter and energy, suggesting they can be converted into one another. The thread concludes with a reference to further reading on the equivalence of mass and energy.
aaronfranz
Messages
3
Reaction score
0

Homework Statement



The equation E=mc^2 and its counterpart m=E/c^2 state that energy and matter are the same thing. (kinda stupid question) Does that mean that 1 joule of energy has a mass? Am I wrong in thinking this? (more to the point, does 1 unit of energy have a distinct mass)

Homework Equations



m=E/c^2
1 joule=1kg(m/s)^2

The Attempt at a Solution



m=1joule/c^2
m=1kg(m/s)^2/299792458 m/s^2
m=1kg(m/s)^2/89875517873681764(m/s)^2
m=1kg/89875517873681764
m=1.112650056053618432174089964848e-17kg

so 1 joule of energy has 1.112650056053618432174089964848e-17kg of mass?
 
Last edited:
Physics news on Phys.org
thank you for that link. I will most likely completely read the whole thing through. hopefully it will state weather matter and energy are the same thing or just that they can be converted into each other.
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top