A block weighing \( 10.0 \mathrm{~N} \) is attached to the lower end of a vertical spring \( (k=...
A block weighing \( 10.0 \mathrm{~N} \) is attached to the lower end of a vertical spring \( (k=200.0 \mathrm{~N} / \mathrm{m}) \), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of \( 2.00 \mathrm{~J} \) as it passes through the point at which the spring is unstretched.
Use the law of conservation of energy to determine the maximum distance the block moves both above and below the point at which the spring is unstretched (these are not necessarily the same)
(A) \( 0.05 \mathrm{~m} \) and \( 0.25 \mathrm{~m} \)
(B) \( 0.10 \mathrm{~m} \) and \( 0.20 \mathrm{~m} \)
(C) \( 0.15 \mathrm{~m} \) and \( 0.15 \mathrm{~m} \)
(D) \( 0.13 \mathrm{~m} \) and \( 0.17 \mathrm{~m} \)
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