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a block of mass m being released from a rest at a height H. The block slides alo

ID: 2158772 • Letter: A

Question

a block of mass m being released from a rest at a height H. The block slides along the frictionless incline, it slides along the level track and then around the loop-the-loop of radius R. the entire track is frictionless except for the horizontal stretch of track of length L, and for here, the coefficient of the kinetic friction between the block and the track is Uk from the bottom on the incline to the bottom of the loop-the-loop. Determine (in terms of R, Uk and L) an expression for the minimum height H that the block must be released from if it is to just make it around the loop-the-loop.

Explanation / Answer

conserving energy,
mgH = mg*L + mg(2R)

so, H = L+2R <--------------answer

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