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Physics: Calculate the average force of particles colliding with a wall

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What is the average force associated with 100 * 10^6 particles, each of a mass 8.280912E-06 Kg, colliding elastically with a wall at a velocity of 102.1 m/s, with directions randomly distributed in 3 dimensions? Assume that the wall is one of the parallel walls of a cylinder with the walls separated by 3 meters.

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The solution is very detailed with good explanations and computations. It calculates the average force of particles colliding with a wall.

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First, an elastic collision means that the change in momentum of the particle. If you recall, force is the change in momentum over time:

F = delta(p)/delta(t)

Also, since the transfer of momentum is perpendicular to the wall, we would only need to deal with the component of velocity perpendicular to the wall (which I will call v_x). When a particle bounces off the wall, this component of the velocity would be equal and opposite in sign because of the elastic ...

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