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(II) $(a)$ A molecule of mass $m$ and speed $v$ strikes a wall at right angles and rebounds back with the same speed. If the collision time is $\Delta t,$ what is the average force on the wall during the collision? (b) If molecules, all of this type, strike the wall at intervals a time $t$ apart (on the average) what is the average force on the wall averaged over a long time?

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a) 2$\frac{m v}{\Delta t}$b) 2$\frac{m v}{t}$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

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Okay, Certainly. Chapter nine Problem 31. So we have a molecule of mess in and speed the it strikes a wallet, a right little re back rebounds back with the same speed. And if the collision time is Delta T, what is the average force on the wall during the collision? So that was part of it. So since the velocity changes direction, we know that the moment of this Jake but the final velocity, it's gonna be the same magnitude was the initial loss. We've just initial direction is different. So we know the average force here is given as the impulse or change momentum over the contact time. So this is just in the final minus in the initial all over delta T. So if we take the final velocity to be in a positive direction is the initial Olynyk direction we have m V minus negative is the all over Delta T. These become close. Is it becomes too in the overdose t that is our average force. Cool part B. No asks if molecules all of this type strike the wall at intervals a time t apart. On average, what is the average force belong averaged over alone. So instead of the actual time of interaction, we just use the time, believe between collisions to get an order or in order to get the average roots. Which means that we again have a average year is given, as in the final finest and the initial all over T. Now, instead of Delta T, this is time between collisions. And again, this just converted to in the over tea instead of deputy, though misses again the average force.

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