Question

A block is placed on an inclined plane of angle 30o with the horizontal and 6.4m long. Find the time taken by a block to slide down to the bottom, if the coefficient of friction between the block and surface of inclined plane is 0.2 (Take g = 10m/s2 )

Answer 1

Answer:

√3.91 seconds = 2 seconds

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Answer 2

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A block is placed on an inclined plane of angle 30o with the horizontal and 6.4m long. Find the time taken by a block to slide down to the bottom, if the coefficient of friction between the block and surface of inclined plane is 0.2 (Take g = 10m/s2 ).

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From FBD acceleration can be claculated as

$a=mmgsinθ−μmgcosθ=gsinθ−μgcosθ$

$⟹a=3.267m/s2$

$from.equation. of .motion  s=ut+21at2,$

$where . u= initial . velocity=0$

$6.4=21×3.267×t2$

$⟹t=1.979$