A skier with a mass of 62 kg is sliding down a snowy slope. Find thecoefficient of kinetic friction for the skier if friction for the skier isknown to be 45 N.

A skier with a mass of 62 kg is sliding down a snowy slope Find thecoefficient of kinetic friction for the skier if friction for the skier isknown to be 45 N class=

Respuesta :

Given:

The angle of inclination is,

[tex]\theta=25^{\circ}[/tex]

the frictional force is,

[tex]f=45\text{ N}[/tex]

The mass of the skier is,

[tex]m=62\text{ kg}[/tex]

according to the diagram the frictional force is,

[tex]\begin{gathered} f=\mu mg\cos \theta \\ \mu=\frac{f}{\text{mgcos}\theta} \end{gathered}[/tex]

Substituting the values we get,

[tex]\begin{gathered} \mu=\frac{45}{62\times9.8\times\cos 25^{\circ}} \\ =0.08 \end{gathered}[/tex]

Hence, the coefficient of friction is 0.08.