- #1
Amrator
- 246
- 83
- Homework Statement
- Two identical masses m are initially at rest, a distance x apart. A constant force F accelerates one of them toward the other until they collide and stick together. What is the mass of the resulting particle?
- Relevant Equations
- $$F = \gamma^3 ma$$
$$F = \frac{dE}{dx}$$
$$E = \gamma mc^2$$
$$P = \gamma mv$$
I don't know if I did this correctly.
##\int Fdx = \int dE##
##F \Delta x = \Delta E##
##Fx = Mc^2 - (mc^2 + mc^2)##
##M = \frac{Fx + 2mc^2}{c^2}##
##M## is the mass of the resulting particle. ##2mc^2## is the total energy before the collision. The issue is I'm assuming that the resulting particle is also stationary. I don't know this for sure though.
##\int Fdx = \int dE##
##F \Delta x = \Delta E##
##Fx = Mc^2 - (mc^2 + mc^2)##
##M = \frac{Fx + 2mc^2}{c^2}##
##M## is the mass of the resulting particle. ##2mc^2## is the total energy before the collision. The issue is I'm assuming that the resulting particle is also stationary. I don't know this for sure though.