Final answer:
To determine the material of the incline, we can analyze the acceleration of the rubber mass sliding down the incline. By calculating the acceleration using the equation of motion and relating it to the coefficient of kinetic friction, we can deduce the roughness of the incline's surface. Substituting the calculated acceleration into the equation and solving for the coefficient of friction will provide us with the necessary information.
Step-by-step explanation:
Given that a 1 kilogram rubber mass is released from rest at the top of a rough incline and reaches the bottom 2.9 seconds later, we can determine the material of the incline by analyzing the motion of the rubber mass.
First, we need to calculate the acceleration of the rubber mass. Using the equation of motion, s = ut + 0.5at^2, where s is the distance, u is the initial velocity (which is 0 m/s as it is released from rest), a is the acceleration, and t is the time, we can rearrange the equation to solve for a:
a = (2*(s - ut))/t^2
Next, we need to relate the acceleration to the material of the incline. The coefficient of kinetic friction (μ) between the rubber mass and the incline determines the roughness of the surface. The acceleration is given by the equation:
a = g*(sin(θ) - μ*cos(θ))
Where g is the acceleration due to gravity (approximately 9.8 m/s^2) and θ is the angle of the incline. By substituting the calculated acceleration into the equation and solving for μ, we can determine the coefficient of friction and deduce the material of the incline.