The speed of a 3.5-N hockey puck sliding across a level icy surface decreases at a rate of 0.45 m/s2. The coefficient of kinetic friction between the puck and the ice is _____. Round your answer to the nearest hundredth.

Respuesta :

Answer:

The coefficient of kinetic friction between the puck and the ice is 0.05.

Explanation:

Given that,

Weight of the hockey puck, W = mg = 3.5 N

Acceleration of the hockey puck, [tex]a=0.45\ m/s^2[/tex]

The frictional force opposing the motion of the puck is given by

[tex]F=\mu N[/tex]

This force is balanced by the force due to motion of the hockey puck. So,

[tex]\mu N=ma\\\\\mu mg=ma\\\\\mu=\dfrac{a}{g}\\\\\mu=\dfrac{0.45}{9.8}\\\\\mu=0.045[/tex]

or

[tex]\mu=0.05[/tex]

So, the coefficient of kinetic friction between the puck and the ice is 0.05. Hence, this is the required solution.