A hockey puck on a frozen pond with an initial speed of 13.7 m/s stops after sliding a distance of 216.9 m. Calculate the average value of the coefficient of kinetic friction between the puck and the ice.

0.04

Explanation:

From

Here m is mass, a is acceleration,  is the coefficient of kinetic friction and g is acceleration due to gravity.

Making the subject of the formula

From kinematics, we know that

Here, v is final speed, u is initial speed, a is acceleration and s is distance moved.

Making a the subject of the formula then

Since it stops, the final velocity is 0 while the initial speed is given as 13.7 m/s

Substituting 0 for v, 13.7 for u, 216.9 m for s then

Taking g as then using the formula

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14