A 82-kg skydiver has a speed of 40 m/s at an altitude of 490 m above the ground. Calculate the total mechanical energy of the skydiver.

A 82-kg skydiver has a speed of 40 m/s at an altitude of 490 m above the ground. Calculate the total mechanical energy of the skydiver.

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  1. Answer:

    [tex]ME=459,364J[/tex]

    Explanation:

    Mechanical Energy=Potential Energy+ kinetic Energy

    [tex]m=82kg,g=9.8N/kg,h=490m,v=40m/s[/tex]

    To calculate Kinetic Energy:-

    [tex]KE=\frac{1}[2}mv^2\\=\frac{1}{2}\times82kg \times(40m/s)^2\\=65600J[/tex]

    To calculate Potential Energy:-

    [tex]PE=mgh\\=82kg \times9.8N/kg \times490\\=393764[/tex]

    therefore,

    [tex]ME=KE+PE\\=65600+393764\\=459364J[/tex]

    The skydiver’s total mechanical energy is 459365J

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