A 20 kg sled is being pulled across a horizontal force at a constant velocity the pulling force has a magnitude of 80 N and it's directed at an angle of 30° above the horizontal determine the coefficient of kinetic friction

Respuesta :

Answer:

0.58

Explanation:

Using the frictional force formula expressed as;

[tex]F_f = \mu R\\[/tex]

[tex]\mu[/tex] is the coefficient of kinetic friction

R is the normal reaction

[tex]\mu = \frac{F_f}{R}[/tex]

[tex]F_f = Wsin \theta\\R = W cos\theta\\\mu = \frac{Wsin \theta}{W cos \theta}\\\mu = \frac{sin\theta}{cos \theta} \\\mu = tan \theta[/tex]

Given

[tex]\theta = 30^0\\\mu = tan 30^0\\\mu = 0.58[/tex]

hence the coefficient of kinetic friction is 0.58