Final answer:
The hockey puck moves a distance of 0.208 meters before coming to rest. The work done by friction is calculated using the equation Work = -Friction Force * Displacement.
Step-by-step explanation:
To find the distance the hockey puck moves before coming to rest, we need to determine the work done by the friction force. The work done by friction is equal to the negative product of the friction force and the displacement.
In this case, the friction force is 4.8 N and the mass of the hockey puck is 0.200 kg. The initial velocity of the puck is 5 m/s. Since the friction force acts opposite to the direction of motion, the work done by friction is negative.
The work done by friction can be calculated using the equation:
Work = -Friction Force * Displacement
Plugging in the given values, we get:
-Friction Force * Displacement = Mass * (final velocity - initial velocity)
Solving for the displacement, we have:
Displacement = (Mass * (final velocity - initial velocity)) / -Friction Force
Substituting the given values, we get:
Displacement = (0.200 kg * (0 m/s - 5 m/s)) / -4.8 N
Simplifying the equation, we find that:
Displacement = -0.208 m
Therefore, the puck moves a distance of 0.208 meters before coming to rest.