Question

A child has only one pea left on her plate. Playing with her food she finds that if she tilts the plate at an angle of 15 degrees or more, the pea starts to slide down. What is the coefficient of static friction between the pea and the plate? Select one: a. 3.7 b. 0.27 c. 1.0 d. Not enough information, it depends on the mass of the pea.

Answer 1

Not enough information, it depends on the mass of the pea.

Step-by-step explanation:

The maximum static friction coefficient:
`f_(s,max)=`μ
`_s*F_N`, where
`F_N` is the normal force.

`F_N=m*g*cos(x)`, where x is the angle, m is the mass, and g is the acceleration caused by gravity (9.8
`(m)/(s^2)`).

Therefore,
`F_N=m*9.8*cos(15)`.

Therefore,
`f_(s,max)=`μ
`_s*m*9.8*cos(15)`

Unfortunately, though, we need to know the mass of the pea in order to determine the friction coefficient.

So, there is Not enough information, because it depends on the mass of the pea.