Define friction. Prove that tangent of angle of friction is equal to coefficient
of friction.

Explained below

Explanation:

- Friction is the force that opposes the motion between two or more objects/surfaces in contact with each other.

- On an inclined plane, the coefficient of static friction is given by the relation;

μ = F_max/F_n

Where;

F_max is maximum frictional force before slip = mg sin θ

F_n is normal force = mg cos θ

Thus;

μ = mg sin θ/mg cos θ

μ = tan θ

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explanation:

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards