Answer:
0.224
Explanation:
There are two forces acting on the rock along the direction parallel to the slope:
- The component of the weight parallel to the slope, down, given by

where
m = 50.0 kg is the mass of the rock
is the acceleration of gravity
is the angle of the slope
- The force of friction, up along the slope, given by

where
is the coefficient of friction
R is the normal reaction
So the equation of the forces along the direction parallel to the slope is
(1)
where
is the acceleration
The normal reaction R can be found by looking at the equation of the forces along the direction perpendicular to the slope: in fact, we have that R balances the component of the weight perpendicular to the slope, so

And substituting into (1)

And solving for
, we find the coefficient of friction:
