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 3 weeks 2021-08-26T05:24:10+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-26T05:26:06+00:00

    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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