A plank \( 1 \mathrm{~m} \) long is fixed with one end, \( 28 \mathrm{~cm} \) above the level of...

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A plank \( 1 \mathrm{~m} \) long is fixed with one end, \( 28 \mathrm{~cm} \) above the level of the other end. The top half of the plank is smooth and the bottom half is rough. When a small block of mass \( \mathrm{m} \) is released at the top, it just reaches the bottom
(a) Coefficient of friction between the block and the rough part of plank is \( \frac{7}{12} \)
(b) The coefficient of friction between the block and the rough part of plank is \( \frac{1}{2} \)
(c) On the rough part, the reaction on the block is \( \left(\frac{24}{25}\right) \mathrm{mg} \)
(d) On the rough part, the reaction on the block is \( \left(\frac{28}{100}\right) \mathrm{mg} \)
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