A conveyor belt is moving at a constant speed of \( 2 \mathrm{~m} / \mathrm{s} \). A box is gent...

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A conveyor belt is moving at a constant speed of \( 2 \mathrm{~m} / \mathrm{s} \). A box is gently dropped on it. The coefficient of friction between them is \( \mu=0.5 \). The distance that the box will move relative to belt before coming to rest on it, taking \( g=10 \mathrm{~ms}^{-2} \), is \( \quad \) [CBSE PMT (Mains) 2011]
(a) Zero
(b) \( 0.4 \mathrm{~m} \)
(c) \( 1.2 \mathrm{~m} \)
(d) \( 0.6 \mathrm{~m} \)
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