Answer:19.5 m
Explanation:
Given
coefficient of kinetic Friction [tex]\mu _k=0.10[/tex]
Initial speed [tex]u=3.9\ m/s[/tex]
Friction is present so it tries to stop to the object and stops it completely after moving certain distance let say s
maximum deceleration provided by friction is
[tex]a_{max}=\mu _k\cdot g[/tex]
[tex]a_{max}=0.1\times 3.9=0.39\ m/s^2[/tex]
using equation of motion
[tex]v^2-u^2=2 as[/tex]
where [tex]v=final\ velocity[/tex]
[tex]u=initial velocity[/tex]
[tex]a=acceleration[/tex]
[tex]s=displacement[/tex]
[tex](0)-(3.9)^2=2\times (-0.39)\times s[/tex]
[tex]s=19.5\ m[/tex]
