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March 29, 2017

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An 8 g bullet is shot into a 4.0 kg block, at rest on a frictionless horizontal surface. The
bullet remains lodged in the block. The block moves into a spring and compresses it by
3.7 cm. The force constant of the spring is 2500 N/m. In the figure, the initial velocity of
the bullet is closest to:
A) 460 m/s
B) 440 m/s
C) 480 m/s
D) 500 m/s
E) 520 m/s

  • physics - ,

    If you could just tell me the steps and equations to use, without the numbers, that would be great. Thank you again in advance

  • physics - ,

    Nevermind. Disregard this post.

  • physics - ,

    Actually, can you do this anyway?

  • physics - ,

    use conservation of momentum to get the velocity of the total mass (4.008 kg) just after collision in terms of bullet velocity Vb. Call that V.

    (1/2) m V^2
    = (1/2) k x^2
    that gives you V
    go back and get Vb

  • physics - ,

    That gives me an answer of 4625.93 m/s. The correct answer is 460 m/s. Can you tell me what I did wrong? I found V=.925 m/s, then did m1v1=m2v2.

  • physics - ,

    (1/2)(4.008) V^2 = (1/2)(2500)(.037)^2

    V = .924 m/s

    .008 Vb = (4.008)(.924 )
    Vb = 463 m/s

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