To find the coefficient of kinetic friction between the mini-fridge and the surface of the incline, we can use the force of kinetic friction and the normal force. By plugging in the given values, the coefficient of kinetic friction is calculated to be 0.109.
To find the coefficient of kinetic friction between the mini-fridge and the surface of the incline, we need to first determine the magnitude of the force of kinetic friction.
Since the mini-fridge is moving at a constant speed, the force of kinetic friction is equal in magnitude and opposite in direction to the force applied by the student. Therefore, the force of kinetic friction is also 28 N.
The coefficient of kinetic friction can be calculated using the formula force of kinetic friction = μkN,
Since the mini-fridge is on an incline, the normal force can be calculated using the equation N = mgcosθ, where m is the mass of the mini-fridge, g is the acceleration due to gravity, and θ is the angle of the incline.
Plugging in the given values, we have N = (32 kg)(9.8 m/s²)cos(35°) = 256 N.
Now, we can calculate the coefficient of kinetic friction: μk = force of kinetic friction/N = 28 N / 256 N = 0.109.
--The given question is incomplete, the complete question is
"A student is attempting to move a 32-kg mini-fridge into her dorm room. during a moment of inattention, the mini-fridge slides down a 35 degree incline at constant speed when she applies a force of 28 n acting up and parallel to the incline. what is the coefficient of kinetic friction between the fridge and the surface of the incline?"--