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an 8g bullet is shot into a 4kg block at rest on a frictionless horizontal surface. the bullet remains lodged in the block. the block movies into a spring and compresses it by 3cm. the force constant of the spring is 1500N/m. the initial speed of the bullet is closest to?

  • phsyics -

    1/2 kX^2 is the kinetic energy of the bullet and block after the bullet gets stuck inside. That tells you the velocity V' after impact.
    (1/2) k X^2 = (1/2)(M+m)V'^2
    V' = sqrt[k/(m+M)]* X

    Once you know V', apply conservation of momentum to the process of the bullet lodging in the block, to get the initial bullet velocity V.

    m V = (m+M) V'

  • phsyics -

    thank you so much. i was struggling through this problem for so long. but now everything makes perfect sense! =D

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