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KIei asked in Science & MathematicsPhysics · 4 years ago

Help with Physics 2 parts Best awnswer! A 1.40 kg block is attached to a spring with spring constant 16 N/m?

A 1.40 kg block is attached to a spring with spring constant 16 N/m . While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 48 cm/s .

Part A) What is the amplitude of the subsequent oscillations? (A=____cm)

Part B) What is the block's speed at the point where x=0.60A? (V=____cm)

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  • 4 years ago
    Favorite Answer

    Use energy balance.

    A) Initial KE = Final Spring PE

    1/2*m*v_max^2 = 1/2*k*A^2

    A = v_max*sqrt(m/k)

    A = 14.2 cm

    B) x = 0.60*A = 8.52 cm

    initial KE = final KE + final spring PE

    1/2*m*v_max^2 = 1/2*m*v^2 + 1/2*k*x^2

    V = sqrt (v_max^2 - k/m*x^2)

    V = 38.4 cm/s

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