Answer:
0.35 m
Explanation:
We are given that
Spring constant,[tex]k=110N/m[/tex]
Length,l=16 cm=[tex]16\times 10^{-2} m[/tex]
1 m=100 cm
Mass,m=2.7 kg
Coefficient of kinetic friction,[tex]\mu_k=0.15[/tex]
Initial potential energy,[tex]U_1=[/tex]0
Final potential energy,[tex]K_2=0[/tex]
According to law of conservation of energy
[tex]K_1+U_1=K_2+U_2[/tex]
[tex]\frac{1}{2}kx^2=\mu mg d[/tex]
[tex]d=\frac{kx^2}{\mu mg}=\frac{110\times (16\times 10^{-2})^2}{2\times 0.15\times 2.7\times 9.8}[/tex]
[tex]d=0.35 m[/tex]
