A hockey puck is given an initial speed of 30 m/s on a frozen pond. The puck remains on the ice and slides 104 m before coming to rest. The acceleration of gravity is 9.8 m/s 2 . What is the coefficient of friction between the puck and the ice?

Answer :

Answer:

[tex]\mu=0.44152[/tex]

Explanation:

t = Time taken

u = Initial velocity of puck = 30 m/s

v = Final velocity of puck = 0

s = Displacement of the puck = 104 m

a = Acceleration

g = Acceleration due to gravity = 9.8 m/s²

[tex]\mu[/tex] = Coefficient of friction

Equation of motion

[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-30^2}{2\times 104}\\\Rightarrow a=-4.32692\ m/s^2[/tex]

[tex]a=\mu g\\\Rightarrow \mu=\frac{a}{g}\\\Rightarrow \mu=\frac{4.32692}{9.8}\\\Rightarrow \mu=0.44152[/tex]

Coefficient of friction between the puck and the ice is 0.44152

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