A 50.0-kg block is being pulled up a 13.0° slope by a force of 250 N which is parallel to the slope, but the block does not slide up the slope. What is the minimum value of the coefficient of static friction required for this to happen?

Respuesta :

Weight of block, Wb = mass*gravity = 50*9.8 = 490 N

Since block is being pulled up by a 13-degree slope

Therefore, Force which is acting parallel to the slop:

 F p =490 Sin [tex] 13^{0} [/tex]= 110.2N

Force which is acting perpendicular to the slope:

 Fv =490 Cos[tex] 13^{0} [/tex] = 477.4 N

Net force can be given as follows:

F n = (250 - 110.2 - 0.2*477.4) N

Fn=44.3N

Now acceleration is given by the ratio of force to mass

a = Fn/m

=44.3/50 = 0.89 ms^-2