Final answer:
To calculate the time for the puck to stop, one must first determine the deceleration due to friction using the formula μg and then apply the kinematic equation (vf = vi + at) to solve for time. Plugging in the given values, it takes approximately 6.12 seconds for the puck to come to a stop.
Step-by-step explanation:
The question asks for the time it will take for a hockey puck to stop due to frictional forces on an ice rink. To find this duration, we first need to calculate the deceleration caused by the kinetic friction force.
We use the formula F = ma (Newton's second law), where F is the force of friction, m is the mass of the puck, and a is the acceleration (or deceleration in this case). The force of friction is given by F = μ × N, where μ is the coefficient of kinetic friction, and N is the normal force, which in this case equals the weight of the puck (mg, with g being the acceleration due to gravity).
The deceleration a can then be found using the formula a = F/m = (μ × mg)/m = μg. Once we have the deceleration, we can find the time it takes for the puck to stop using the kinematic equation vf = vi + at, where vf is the final velocity (0 m/s, since the puck stops), vi is the initial velocity, a is the deceleration, and t is the time. Solving for t gives us t = (vf - vi)/a = (0 - vi)/(μg).
Plugging in the values given in the question (μ = 0.10, vi = 6.0 m/s, and g = 9.8 m/s2), we get t = -6.0 m/s / (0.10 × 9.8 m/s2), which calculates to approximately 6.122 seconds for the puck to come to a stop.