An object with a mass of # 1 kg# is lying still on a surface and is compressing a horizontal spring by #1 m#. If the spring's constant is # 15 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

1 Answer
Dec 30, 2017

Answer:

The coefficient of static friction is #=1.53#

Explanation:

The mass is #m=1kg#

The compression of the spring is #x=1m#

The spring constant is #k=15kgs^-2#

The reaction of the spring is #R=kx=15*1=15N#

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

The normal reaction of the object is #N=mg=1*9.8=9.8N#

The coefficient of static friction is

#mu_s=R/N=15/9.8=1.53#