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a pneumatic nail gun with muzzle speed of 37m/s fires a 5.0cm nail directly into a hard wood that stops the nail just when it is full embedded in the wood. Assuming the nail's deceleration to be constant, what is its magnitude?

  • physics -

    Average velocity during penetration
    = 37/2 = 18.5 m/s
    Penetration time = 0.05m/18.5 m/s
    = 2.70*10^-3 s
    Deceleration rate magnitude
    = 37/2.7*10^-3 = 13,690 m/s^2

    That's a lot of g's (about 1400)

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