MCQ
With what minimum velocity should block be projected from left end $A$ towards end $B$ such that it reaches the other end $B$ of conveyer belt moving with constant velocity $v$. Friction coefficient between block and belt is $\mu$ .
  • A
    $\sqrt {\mu gL} $
  • $\sqrt {2\mu gL} $
  • C
    $\sqrt {3\mu gL} $
  • D
    $2\sqrt {\mu gL} $

Answer

Correct option: B.
$\sqrt {2\mu gL} $
b
$a=\mu g$

$0^{2}=v_{0}^{2}-2 \mu g L$ or $v_{0}^{2}=2 \mu g L$

$\therefore V_{0}=\sqrt{2 \mu g L}$

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