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anon_man
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how can we use statistical mechanics to find the probability of a particle inside a sphere to escape through a hole on the surface (no potential energy) ? any ideas ??
The escape probability of a particle in a sphere refers to the likelihood that a particle will escape from the sphere's confinement and be released into the surrounding space.
The escape probability can be calculated by taking into account the particle's initial velocity, the sphere's radius, and the gravitational force acting on the particle.
As the particle's initial velocity increases, the escape probability also increases. This is because the particle has more kinetic energy to overcome the sphere's gravitational force and escape.
The escape probability of a particle in a sphere is affected by the particle's initial velocity, the sphere's radius, the gravitational force, and the presence of any other external forces acting on the particle.
The escape probability is related to the concept of escape velocity, which is the minimum velocity required for a particle to escape from the gravitational pull of a massive body. In the case of a particle in a sphere, the escape probability increases as the initial velocity approaches the escape velocity for that specific sphere.