An object with a mass of # 15 kg# is lying on a surface and is compressing a horizontal spring by #10 cm#. If the spring's constant is # 8 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
The minimum coefficient of static friction is
We know that the frictional force due to static friction will be the normal force of the object on the surface times the coefficient of static friction,
And Hooke's law tells us that the force due to the spring is...
These two values will be equal when
And using scientific notation to simplify we get: