A block with initial velocity of 3 m/s slides 9 m across a rough horizontal surface before coming to rest. What is the coefficient of kinetic friction?

##k~=0,051##

##”if object stops, velocity of object is zero.”##
##v_l: ” last velocity of object”##
##v_i:” initial velocity of object”##
##a:” acceleration of object”##
##x:” displacement of object”##
##F_f:” friction force acting contacting surface”##
##k:” coefficient of kinetic friction”##
##v_l^2=v_i^2-2.a.x##
##0=3^2-2*a*9##
##cancel(9)=2*a*cancel(9)##
##a=1/2 m/s^2##
##F_f=m*a##
##k*cancel(m)*g=cancel(m)*a##
##k=a/g##
##k=(0,5)/(9,81)##
##k~=0,051##

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