Consider the energy diagram below. (a) Describe the motion of a particle at posi
ID: 2213734 • Letter: C
Question
Consider the energy diagram below.
(a) Describe the motion of a particle at position 1 with energy TE1. Which direction will it be moving and accellerating, and how do you know?
(b) How will a particle with energy TE2 behave differently than a particle with energy TE1?
(c) Identify points of stable and unstable equilibrium. For particles of any given energy (TE1-4), can a particle be stationary at any of the equilibrium points?
(d) For a particle with energy TE2, describe the force on the particle at points 2, 3, 4, 5, and 6. Specifically, is the force to the left or right, and at which point(s) is the force greatest and least?
(e) Where could you possibly find a particle with energy TE3? Identify the turning points for such a particle. Describe the motion of a particle with energy TE3, specifically, how is it different for the two possible regions where it can exist?
(f) Explain the existence or lack thereof for a particle with energy TE4 at point 2.
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Explanation / Answer
A) A particle will move to the left to points with higher energy as it has more energy, that is TE1 than the energy at point 1. And will accelerate at the same direction.
B) TE2 is lower than TE1, it will move slower.
C) Points 2 and 6 are stable equilibrium because both have the lowest energy among the points surrounding them. so if you move the particle, it will come back to point 2.. The unstable equilibrium is at point 4 as it has the highest energy among the points surrounding it. So if you move the particle, it'll continue moving
D) at points 2,4,6 zero force as they are eqlbrm positions. at 3 force to the right at 5 force to left as per the energy difference.
E)at 1 and 4