Not only did Skid get shot out of a cannon when he was a clown in the circus, but he was also launched into the air by a vertically compre

Question

Not only did Skid get shot out of a cannon when he was a clown in the circus, but he was also launched into the air by a vertically compressed spring. Skid of 55 kg is standing on a massless platform attached to a spring of constant 8700 N/m that is compressed 125 cm. Skid is launched from rest. He eventually leaves the platform and reaches a peak high above the platform. (a) What is the velocity of Skid when he leaves the platform

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Yến Oanh 2 weeks 2021-08-29T19:18:56+00:00 1 Answers 0 views 0

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    2021-08-29T19:20:25+00:00

    Answer:

    v = 16.11 m / s

    Explanation:

    For this exercise we must use the principle of conservation of energy. We set a reference system on the part of the platform without elongation

    starting point. When the spring is compressed

            Em₀ = K_e + U = ½ k x² + m g x ’

    final point. The point where it leaves the platform

            Em_f = K = ½ m v²

    energy is conserved

             Em₀ = Em_f

             ½ k x² + m g x ’= ½ m v²

             v² = \frac{k}{m}  x² + g x

    let’s calculate

             v² = \frac{8700}{55}  1.25² + 9.8 1.25

             v² = 247.159 + 12.25 = 259.409

             v = 16.11 m / s

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