Answer:2.05 m
Explanation:
Given
Mass of sled [tex]m=8.54 kg[/tex]
initial speed [tex]u=0.187 m/s[/tex]
coefficient of kinetic Friction [tex]\mu _k=0.087[/tex]
According to work-energy theorem work done by all the forces is change in Kinetic energy
[tex]W_{friction}=\frac{1}{2}mv_i^2-\frac{1}{2}mv_f^2[/tex]
[tex]\mu _kmg\times d=\frac{1}{2}\times 8.54\times 1.87^2[/tex] ,where d= distance moved
[tex]0.087\times 8.54\times 9.8\times d=14.93[/tex]
[tex]d=\frac{14.93}{7.281}[/tex]
[tex]d=2.05 m[/tex]
