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  • Calculating Initial Velocity from Work Done: Formulas & Steps
    To find the initial velocity of a system from the work done on it, you can use the formula:

    $$W = \frac{1}{2}mv^2$$

    Where:

    - W is the work done on the system

    - m is the mass of the system

    - v is the initial velocity of the system

    To find the initial velocity, simply rearrange the formula to:

    $$v = \sqrt{\frac{2W}{m}}$$

    Where the square root represents the positive square root of the expression.

    By plugging in the values for W and m, you can calculate the initial velocity (v) of the system.

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