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  • Work Done to Increase Snowboard Speed: A Physics Problem
    The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. In this case, the initial kinetic energy of the snowboard is:

    $$\frac{1}{2}mv_1^2=\frac{1}{2}(10 \text{ kg})(4 \text{ m/s})^2=80 \text{ J}$$

    The final kinetic energy of the snowboard is:

    $$\frac{1}{2}mv_2^2=\frac{1}{2}(10 \text{ kg})(6 \text{ m/s})^2=180 \text{ J}$$

    Therefore, the net work done on the snowboard is:

    $$W=KE_f-KE_i=180 \text{ J}-80 \text{ J}=\boxed{100 \text{ J}}$$

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