Please show steps and make clear. 4. Extra Credit. From Spring 2000. A block of

Question

Please show steps and make clear.

4. Extra Credit. From Spring 2000. A block of mass m-0.245 kg is dropped on a spring. Just before the block strikes the spring, the speed is v = 6.4 ms. After the block strikes the spring, the spring compresses downward a maximum distance h before the mass comes momentarily to rest. Please see the diagrams below of the system just before compression and at maximum compression. The spring constant of the spring is k = 255 Nm What is the distance h? just before at maximum compression

Explanation / Answer

using conservation of energy

kinetic energy at Top + Potential energy at the Top = spring potential energy

(0.5) m v2 + mgh = (0.5) k h2

(0.5) (0.245) (6.4)2 + (0.245) (9.8) h = (0.5) (255) h2

h = 0.21 m

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