Answer: 1.25 m
Explanation:
Given
initial velocity[tex](v_i )=3 m/s[/tex]
Final velocity[tex](v_f)=0.55\times 3=1.65 m/s[/tex]
Change in kinetic Energy =work done by Friction
change in Kinetic Energy[tex]=\frac{m}{2}\left ( v_i^2-v_f^2\right )[/tex]
work done by friction[tex]=\mu mgL[/tex]
[tex]\frac{m}{2}\left ( 3^2-1.65^2\right )=0.25\cdot mg\times L[/tex]
[tex]3.135=0.25\times 9.8\times L[/tex]
L=1.25
