The difference between organic chemistry and biochemistry.

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Portfolio Problem 4. Consider two identical springs, each with natural length and spring constant k, attached to a horizontal frame at distance 2l apart. Their free ends are attached to the same particle of mass m, which is hanging under gravity. Let z denote the vertical displacement of the particle from the hori- zontal frame, so that z < 0 when the particle is below the frame, as shown in the figure. The particle has zero horizontal velocity, so that the motion is one dimensional along z. 000000 0 eeeeee (a) Show that the total force acting on the particle is X F-mg k-2kz 1 (1. l k. (b) Find the potential energy U(x, y, z) of the system such that U x = : 0. = O when (c) The particle is pulled down until the springs are each of length 3l, and then released. Find the velocity of the particle when it crosses z = 0.

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Chapter 14, Problem 1SA

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The difference between organic chemistry and biochemistry.

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Portfolio Problem 4. Consider two identical springs, each with natural length and spring constant k, attached to a horizontal frame at distance 2l apart. Their free ends are attached to the same particle of mass m, which is hanging under gravity. Let z denote the vertical displacement of the particle from the hori- zontal frame, so that z < 0 when the particle is below the frame, as shown in the figure. The particle has zero horizontal velocity, so that the motion is one dimensional along z. 000000 0 eeeeee (a) Show that the total force acting on the particle is X F-mg k-2kz 1 (1. l k. (b) Find the potential energy U(x, y, z) of the system such that U x = : 0. = O when (c) The particle is pulled down until the springs are each of length 3l, and then released. Find the velocity of the particle when it crosses z = 0.

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