physics

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A block of mass m = 2.67 kg is attached to a spring (k =
32.3 N/m) by a rope that hangs over a pulley of mass M =
5.34 kg and radius R = 6.41 cm, as shown in the figure.
a) Treating the pulley as a solid homogeneous disk, neglecting
friction at the axle of the pulley, and assuming the system
starts from rest with the spring at its natural length, find the
speed of the block after it falls 1.00 m.
b) And find the maximum extension of the spring.

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