A hockey puck struck by a hockey stick is given an initial speed v 0 in the posi

Question

A hockey puck struck by a hockey stick is given an initial speed v0 in the positive x-direction. The coefficient of kinetic friction between the ice and the puck is µk. (a) Obtain an expression for the acceleration of the puck. (Use the following as necessary: µkg.) and

(b) Use the result of part (a) to obtain an expression for the distance d the puck slides. The answer should be in terms of the variables v0, µk, and g only. A hockey puck struck by a hockey stick is given an initial speed v0 in the positive x-direction. The coefficient of kinetic friction between the ice and the puck is µk. (a) Obtain an expression for the acceleration of the puck. (Use the following as necessary: µkg.)

Explanation / Answer

Hi,    the only force (ignoring resistance from the air) is the friction between puck and ice. The acceleration is not dependent on the initial velocity of the puck. Also, the friction force is negative because it acts against the direction of motion.
Hence F = ma = -µk * m * g
               => a = -µk * m * g / m
               => a = -µk * g

(b) From v^2 - u^2 = 2 * a * s, we have
              0 - vo^2 = 2 * (-µk * g) * s   (since final velocity is zero)                     => s = vo^2 / (2 * µk * g)
Hope this helps you.

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