determine whether the following equations are dimensionally correct if not how can you make them dimensionally correct 1 /2 mv2 =(mgh) 2​

Question

determine whether the following equations are dimensionally correct if not how can you make them dimensionally correct 1 /2 mv2 =(mgh) 2​

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Minh Khuê 1 year 2021-08-23T11:56:28+00:00 1 Answers 4 views 0

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    2021-08-23T11:57:53+00:00

    Answer:

    [tex]1 /2 mv^{2} =mgh[/tex]

    Explanation:

    The correct equation follows the law of conservation of energy where kinetic energy is all transformed to potential energy, since we know that kinetic energy is expressed as

    [tex]1 /2 mv^{2}[/tex] while potential energy is mgh where m is the mass of the object, v is the velocity or speed of the object, g is acceleration due to gravity and h is the vertical height. Therefore, relating the two equations we should have [tex]1 /2 mv^{2} =mgh[/tex]

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