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4-2.Friction
medium
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} $
B$\sqrt {2\mu gL} $
C$\sqrt {3\mu gL} $
D$2\sqrt {\mu gL} $
Solution
$a=\mu g$
$0^{2}=v_{0}^{2}-2 \mu g L$ or $v_{0}^{2}=2 \mu g L$
$\therefore V_{0}=\sqrt{2 \mu g L}$
$0^{2}=v_{0}^{2}-2 \mu g L$ or $v_{0}^{2}=2 \mu g L$
$\therefore V_{0}=\sqrt{2 \mu g L}$
Standard 11
Physics