Answer:
0.03219
0.00654
Explanation:
t = Time taken
u = Initial velocity = 4 m/s
v = Final velocity = [tex]\dfrac{u}{2}=\dfrac{4}{2}=2\ m/s[/tex]
s = Displacement
g = Acceleration due to gravity = 9.81 m/s²
Acceleration
[tex]a=-\frac{f}{m}\\\Rightarrow a=-\frac{\mu mg}{m}\\\Rightarrow a=-\mu g[/tex]
From equation of motion
[tex]v^2-u^2=2as\\\Rightarrow v^2-u^2=2(-\mu g)s\\\Rightarrow \mu=\dfrac{v^2-u^2}{-2gs}\\\Rightarrow a=\dfrac{2^2-4^2}{2\times -9.81\times 19}\\\Rightarrow \mu=0.03219[/tex]
Coefficient of friction is 0.03219
[tex]v^2-u^2=2as\\\Rightarrow v^2-u^2=2(-\mu g)s\\\Rightarrow \mu=\dfrac{v^2-u^2}{-2gs}\\\Rightarrow a=\dfrac{2^2-4^2}{2\times -9.81\times 93.5}\\\Rightarrow \mu=0.00654[/tex]
Coefficient of friction is 0.00654