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The figure below gives the potential energy function of a partide ABCDEGH (a) Ra

ID: 1770449 • Letter: T

Question

The figure below gives the potential energy function of a partide ABCDEGH (a) Rank regions AB, BC, CD, and DE according to the magnitude of the force on the particle, greatest first. (Use only ">"or"symbols. Do not indude any parentheses around the letters or symbols.) (b) What value must the mechanical energy Emec of the partide not exceed if the particle is to be trapped in the potential well at the left? (c) What value must the mechanical energy Eme of the particle not exceed if the partide is to be trapped in the potential well at the right? (d) What value must the mechanical energy Emec of the partide not exceed if the particle is to be able to move between the two potential wells but not to the right of point H? (e) For the situation of (d), in which of the regions BC, DE, and FG will the partidle have the greatest kinetic energy? (f) For the situation of (d), in which of the regions will the partide have the least speed?

Explanation / Answer

F = - dU/dx

force is the slop of U vs x curve at that point.

(A) slope of BC = slope of DE = 0

slope of AB > slope of CD { magnitude wise where AB is negative and CD is positive}

Ans: AB > CD > BC = DE

(B) PE at D = 5 J

if ME > 5 J then it will jump beyond this point.

Ans: 5 J


(C) Ans: 5 J


(D) 6J

(e) greatest KE will be when U is minimum.

Ans: FG


(f) when U is maximum.

Ans: DE

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