Figure shows a block placed on a bracket. Bracket is placed on a smooth floor, it is pulled by a...

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Figure shows a block placed on a bracket. Bracket is placed on a smooth floor, it is pulled by a force \( F=6 \mathrm{~N} \) horizontally. Block is projected with velocity \( v_{0} \) relative to bracket as shown in figure. Find time in second after which it stops relative to bracket. Horizontal surface of bracket is smooth while vertical surface is rough (Given: \( m=1 \mathrm{~kg}, M=5 \mathrm{~kg} \), \( v_{0}=5 \mathrm{~m} / \mathrm{s}, \mu=0.5 \) ) (Round off nearest integer)
(a) \( 5 \mathrm{sec} \)
(b) \( 7 \mathrm{sec} \)
(c) \( 15 \mathrm{sec} \)
(d) \( 10 \mathrm{sec} \)
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