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Question


A block is projectd along a rough horizontal road with a speed of 10 m/s. If the coefficient of kinetic friction is 0.10 how far will it travel before coming to rest?
 


Solution

Due to friction the body will decelerate. Let the deceleration be 'a'
Rmg=0R=mg
Again maμR=0ma=μmga=μg=0.1×10=1m/s2
Initial velocity, u = 10 m/s
Final velocity, v = 0 m/s
a=1m/s2
S=v2u22a=01022(1)=1002=50m
It will travel 50 m before coming to rest.
 

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