A spring gun is used to project a 0.5 kg ball, in order to perform this experiment the spring was initially compressed by 0.005 m

Question

A spring gun is used to project a 0.5 kg ball, in order to perform this experiment the spring was initially

compressed by 0.005 m. Find the ball’s speed when it leaves the gun, if the spring constant is 395 N/m.​

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Ngọc Khuê 2 months 2021-07-25T16:30:45+00:00 1 Answers 8 views 0

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    0
    2021-07-25T16:32:03+00:00

    Answer:

    Explanation:

    Given that,

    Mass of ball M = 0.5kg

    Spring compressed x = 0.005m

    Spring constant K = 395N/m

    Speed of ball?

    Using conservation of energy

    Energy stored in the spring is equal to the kinetic energy of the ball

    U = K.E

    ½kx² = ½mv²

    ½ × 395 × 0.005² = ½ × 0.5 × v²

    4.9375 × 10^-3 = 0.25v²

    v² = 4.9375×10^-3 / 0.25

    v² = 0.01975

    v =√0.01975

    v = 0.14m/s

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