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##