Calculate the magnitude of the acceleration of a sled that is heading down a 42° slope (one that makes an angle of 42° with the horizontal). the coefficient of kinetic friction on ice is μk = 0.100. (take the x direction to be parallel to and down the slope and the y direction to be perpendicular to the slope.)

Explanation:

It is given that,

Angle of inclination of the sled,

The coefficient of kinetic friction on ice is,

Using the free body diagram, the magnitude of the acceleration of a sled that is heading down is given by :

f is the frictional force

So, the magnitude of the acceleration of a sled is . hence, this is the required solution.