The reason why a handrail doesn’t move after an ice skater pushes off from it is primarily due to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. When the skater pushes against the handrail, they apply a force on it. According to Newton's law, the handrail exerts an equal and opposite force back on the skater.
However, the handrail does not move because it is typically fixed to the ground or a stable structure, meaning it has a great deal of inertia and stability. The forces acting on the railway are balanced by its support, effectively keeping it in place despite the skater's push. In summary, the handrail does not move due to its fixed nature and the opposing force it exerts back against the skater.
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