In an arcade game a 0.117 kg disk is shot across a frictionless horizontal surface by compressing it against a spring and releasing it. If t

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In an arcade game a 0.117 kg disk is shot across a frictionless horizontal surface by compressing it against a spring and releasing it. If the spring has a spring constant of 194 N/m and is compressed from its equilibrium position by 7 cm, find th

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Bơ 4 years 2021-09-03T19:45:10+00:00 1 Answers 33 views 0

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  1. minhkhue
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    2021-09-03T19:46:21+00:00
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    Find the speed with which the disk slides across the surface

    Answer:

    \boxed{2.85 m/s}

    Explanation:

    The Potential energy of spring is transformed to kinetic energy hence

    0.5kx^{2}=0.5mv^{2}\\kx^{2}=mv^{2}\\v=\sqrt{\frac {kx^{2}}{m}}

    Here k is the spring constant, x is the extension of spring, v is the velocity of disk and m is the mass of the disk.

    Substituting 0.117 Kg for m, 194 N/m for k and 0.07 m for x then

    v=\sqrt{\frac {194\times 0.07^{2}}{0.117}}=2.850401081 m/s\approx \boxed{2.85 m/s}

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