A box slides down a 33.3
◦
ramp with an
acceleration of 1.07 m/s
2
.
The acceleration of gravity is 9.8 m/s
2
.
Determine the coefficient of kinetic friction
u = a/g = 1.07/9.8 = 0.109.
To determine the coefficient of kinetic friction, we can use the equation:
acceleration = (coefficient of friction) * (acceleration due to gravity)
Given:
Acceleration of the box = 1.07 m/s^2
Acceleration due to gravity = 9.8 m/s^2
We can rearrange the equation to solve for the coefficient of kinetic friction:
coefficient of friction = acceleration / acceleration due to gravity
Substituting the given values:
coefficient of friction = 1.07 m/s^2 / 9.8 m/s^2
coefficient of friction ≈ 0.109
Therefore, the coefficient of kinetic friction is approximately 0.109.