An angry soccer player uses dynamite to blow the rival teams stadium apart after a close loss. Debris from the explosion flies off in all di

Question

An angry soccer player uses dynamite to blow the rival teams stadium apart after a close loss. Debris from the explosion flies off in all directions and is later found at distances as far as 50 m from the explosion. Estimate the maximum speed at which debris was blown outward by the explosion.

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Trúc Chi 4 years 2021-08-26T05:24:10+00:00 1 Answers 14 views 0

Answers ( )

  1. thaiduong
    0
    2021-08-26T05:26:06+00:00
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    Answer:

    The maximum speed is  u = 22 \ m/s

    Explanation:

    From the question we are told that

       The distance covered by the debris is R = 50 \ m

       

    The maximum range of the debris projectile is mathematically represented as

          R = \frac{ u^2 sin^2 \theta }{g}

    At maximum  \theta = 90 ^o

    Now making u which is the maximum speed at which debris was blown outward by the explosion.

      we  have

          u = \sqrt{\frac{R * g }{ sin ^2 \theta } }

    substituting values

              u = \sqrt{\frac{50 * 9.8 }{ [sin 90] ^2} }

            u = 22 \ m/s

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