A spring-powered dart gun is unstretched and has a spring constant 16.0 N/m. The spring is compressed by 8.0 cm and a 5.0 gram projectile is

Question

A spring-powered dart gun is unstretched and has a spring constant 16.0 N/m. The spring is compressed by 8.0 cm and a 5.0 gram projectile is placed in the gun. The kinetic energy of the projectile when it is shot from the gun is

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Minh Khuê 2 weeks 2021-07-19T13:57:29+00:00 1 Answers 1 views 0

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    2021-07-19T13:59:21+00:00

    Answer:

    Explanation:

    Given that,

    Spring constant = 16N/m

    Extension of spring

    x = 8cm = 0.08m

    Mass

    m = 5g =5/1000 = 0.005 kg

    The ball will leave with a speed that makes its kinetic energy equal to the potential energy of the compressed spring.

    So, Using conservation of energy

    Energy in spring is converted to kinectic energy

    So, Ux = K.E

    Ux = ½ kx²

    Then,

    Ux = ½ × 16 × 0.08m²

    Ux = 0.64 J

    Since, K.E = Ux

    K.E = 0.64 J

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