A spring is hung from the ceiling. A 0.400-kg block is then attached to the free

Question

A spring is hung from the ceiling. A 0.400-kg block is then attached to the free end ofthe spring. When released from rest, the block drops 0.130 m before momentarily coming to rest, afterwhich it moves back upward. (a) What is the spring constant of the spring?
(b) Find the angular frequency of the block's vibrations. A spring is hung from the ceiling. A 0.400-kg block is then attached to the free end ofthe spring. When released from rest, the block drops 0.130 m before momentarily coming to rest, afterwhich it moves back upward. (a) What is the spring constant of the spring?
(b) Find the angular frequency of the block's vibrations.

Explanation / Answer

(a)conservation of energy mg*0.13 =k*0.132/2 => k=60.31 N/m (b)the angular frequency of the block's vibrations. =k/m=12.28 rad/s or f=/2=1.95 Hz

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