A \( 2 \mathrm{~kg} \) block slides on a horizontal floor with a speed of \( 4 \mathrm{~m} / \ma...

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A \( 2 \mathrm{~kg} \) block slides on a horizontal floor with a speed of \( 4 \mathrm{~m} / \mathrm{s} \). It strikes a uncompressed spring and compresses it till the block becomes motionless. The kinetic friction force is \( 15 \mathrm{~N} \) and spring constant is \( 10000 \mathrm{~N} / \mathrm{m} \). The spring compresses by
(a) \( 5.5 \mathrm{~cm} \)
(b) \( 2.5 \mathrm{~cm} \)
(c) \( 11.0 \mathrm{~cm} \)
(d) \( 8.5 \mathrm{~cm} \)
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