Final answer:
To find the coefficient of friction, you can use the kinematic equation v² = u² + 2as with the given values to solve for μ. The calculation reveals that the coefficient of friction between the puck and the ice is 0.372.
Step-by-step explanation:
The given problem involves finding the coefficient of friction between a hockey puck and the ice. To determine the coefficient of friction (μ), the work-energy principle or kinematic equations can be used. Here, we will apply the kinematic equation for uniformly accelerated motion:
v² = u² + 2as
Where v is the final velocity (0 m/s, since the puck comes to rest), u is the initial velocity (29 m/s), a is the acceleration (which we will express in terms of μ and g, where g is the acceleration due to gravity, 9.8 m/s²), and s is the displacement (114 m).
After some algebra with the equation and considering that the acceleration is due to kinetic friction, where a = -μ*g, we get:
μ = −(u²/2gs)
Substituting the given values:
μ = −((29 m/s)² / (2 * 9.8 m/s² * 114 m)) = 0.372
Therefore, the correct answer is A) 0.372.