83ill respectively the speed ofa particle is v j2e um

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Unformatted text preview: rge x. Problem 41. The potential energy associated with a conservative force is shown in Fig. 8-35. Consider particles with total energies E1 = -1.5 J, E2 = -0.5 J, E3 = 0.5 J, E4 = 1.5 J, and E5 = 3.0 J. Discuss the subsequent motion, including the approximate location of any turning .points, if the particles are initially at point x = 1 m and moving in the -x direction. Solution All the particles start in the left-hand potential well and reverse direction when they hit the left-most (infinite) potential barrier. The first four particles have insufficient energy to escape from this well (the height of the next barrier is about 2:0 J > E4) and S:J l:r \ 4 3 2 1 E, . ii -2J , \ \ \ '3,5fM -5~ , f.~3", .. ~tqrttirt, So ~ -1 = LA",;" p+S. Problem 42 Solution. -2 -3 FIGURE Problem 8-35 Problem 41 Solution. 43. (a) Derive an expression for the potential energy of an object subject to a force Fx = ax - bx3, . </.::".":. ::- CHAPTER 8 133 .. :.: i:~here a = 5 N/m, and...
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