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Grade 11Mechanics

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.Frictiom coefficient between block and belt is u.

Profile image of kartikay kala
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
Let initial velocity be v.for the minimum initial projection speed (w.r.t belt), velocity of the body at the other end should be zero w.r.t the conveyor belt, which is moving with velocity in opposite direction. There will be slipping, hence the retardation will be - mu g with the total length of d.
 
v² = 2 *mu*gd
 
v = sqrt (2 *mu*g*d)