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31 July, 17:51

The formula to determine energy is uppercase E = one-half m v squared. What is the formula solved for v? V = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot v = 2 uppercase E minus m v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

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  1. 31 July, 18:20
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    Step-by-step explanation:

    The formula for energy us given as

    E=½mv²

    This change of formula question, we want to make v the subject of the formula

    E=½mv²

    Multiply the right and side and the left hand side by 2 to eliminate the ½

    2*E = 2*½ mv²

    Then, we have

    2E=mv²

    Divide both side of the equation by m to eliminate m

    2E/m=mv²/m

    So we have

    2E/m=v²

    Now take the square of both side of the equation to eliminate square of v

    ±√ (2E/m) = √v²

    ±√ (2E/m) = v

    Then,

    v=±√ (2E/m)

    The last option is the correct option

    v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
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