An object with a mass of $7 kg$ is lying still on a surface and is compressing a horizontal spring by $5/4 m$ . If the spring's constant is $3 (kg)/s^2$ , what is the minimum value of the surface's coefficient of static friction?

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Answer 1 · 2017-12-17T12:43:56

The coefficient of static friction is $=0.055$

The mass is $m=7kg$

The compression of the spring is $x=5/4m$

The spring constant is $k=3kgs^-2$

The reaction of the spring is $R=kx=3*5/4=15/4=3.75N$

The acceleration due to gravity is $g=9.8ms^-2$

The normal reaction of the object is $N=mg=7*9.8=68.6N$

The coefficient of static friction is

$mu_s=R/N=3.75/68.6=0.055$

An object with a mass of 7 kg7 kg is lying still on a surface and is compressing a horizontal spring by 5/4 m5/4 m. If the spring's constant is 3 (kg)/s^23 (kg)/s^2, what is the minimum value of the surface's coefficient of static friction?