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22 January, 14:27

To understand the meaning and possible applications of the work-energy theorem.

In this problem, you will use your prior knowledge to derive one of the most important relationships in mechanics: the work-energy theorem. We will start with a special case: a particle of mass m moving in the x direction at constant acceleration a. During a certain interval of time, the particle accelerates from vinitial to vfinal, undergoing displacement s given by s=xfinal-xinitial

Find the acceleration a of the particle.

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  1. 22 January, 15:19
    0
    a = V final 2___v initial2

    28

    Explanation:

    By definition for contant acceleration a = V final ___v initial

    t

    Furthermore the average speed is V abg = v initial + v final

    2

    Combine these relationships to eliminate t. 8 = Vabg t.
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