Final answer:
Using the work-energy principle, the force of friction on the hockey puck is calculated by equating the work done by friction to the negative change in the puck's kinetic energy. The correct magnitude of the force of friction is 0.0225 N, which is not among the provided options, suggesting an error in the given options or calculations.
Step-by-step explanation:
To determine the force of friction on the hockey puck, we can use the work-energy principle. The work done by friction is equal to the change in kinetic energy of the puck. The initial kinetic energy of the puck is given by ½ mv², where m is the mass of the puck and v is its velocity. When the puck comes to rest, its final kinetic energy is 0. Thus, the work done by friction (which is the product of the friction force and the distance over which it acts) is equal to the negative of the initial kinetic energy. We can set up the equation:
Work done by friction = - ½ mv²
F_friction × distance = - ½ × 0.48 kg × (3.0 m/s)²
Let's solve for the friction force:
F_friction = - ½ × 0.48 kg × (3.0 m/s)² / 8.0 m
F_friction = -0.18 kg·m²/s² / 8.0 m
F_friction = -0.0225 N
Since friction always opposes the motion, its direction is opposite to that of the initial velocity, hence the negative sign in the work. However, when asking for the magnitude, we are interested in the positive value. Therefore, the magnitude of the force of friction on the puck is 0.0225 N, which is not present in the given options, indicating a possible mistake in the calculations or the provided options.