With what minimum velocity should a block of | vedclass

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(C) The block is projected with velocity $v_0$ towards the right. The conveyor belt moves towards the left with velocity $v$. The frictional force act

Vedclass · Accepted Answer

$\sqrt{2 \mu gL}$

Vedclass · Answer

(C) The block is projected with velocity $v_0$ towards the right. The conveyor belt moves towards the left with velocity $v$. The frictional force acting on the block is $f = \mu mg$ towards the left.The acceleration of the block is $a = -\mu g$ (taking the right direction as positive).For the block to just reach the end $B$,its velocity must become zero exactly at point $B$. Using the kinematic equation $v_f^2 = v_i^2 + 2as$:$0^2 = v_0^2 + 2(-\mu g)L$$v_0^2 = 2\mu gL$$v_0 = \sqrt{2\mu gL}$Thus,the minimum velocity required is $\sqrt{2\mu gL}$.

$x$	$1$	$2$	$3$	$4$
$y$	$0.7111$	$0.7222$	$0.7333$	$0.7444$

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