Final answer:
Acceleration is -2.67 m/s². Force of friction and coefficient of friction cannot be determined without the mass. Newton's 3rd law is exemplified by the floor pushing back as you slide.
Step-by-step explanation:
To determine your acceleration when you start sliding in socks and decelerate from 2 m/s to 0 m/s over 0.75 seconds, you can use the formula for acceleration: a = (v_f - v_i) / t where v_f is the final velocity, v_i is the initial velocity, and t is the time it takes to change velocity. Here, your acceleration is (0 - 2) / 0.75 = -2.67 m/s², indicating you are decelerating (hence the negative sign).
The force of friction (F_friction) you experience is found by using Newton's second law, F = ma, where m is your mass and a is the acceleration you calculated. Since your mass is not provided, the force of friction cannot be determined without additional information.
The coefficient of friction (μ) can be found with the formula μ = F_friction / N, where N is the normal force, which is typically equal to the weight of the object if the surface is horizontal. Without the mass of the object, the coefficient of friction cannot be specifically calculated.
As for Newton's 3rd law, an example related to this problem is that as you push backward against the floor with your feet, the floor exerts an equal and opposite force forward against you, which is what initially propels you forward when you begin to slide.