# The Mathematical Equation

a.) There is no relationship between the speed and friction of a box. Surface area does not effect friction. Tension angle has no effect on friction. Mass is directly proportional to static and kinetic friction. Surface type has an effect on friction because aluminum has the highest friction followed by paper, wax paper, wood, and felt with the lowest. Static friction tended to be higher than kinetic friction in all cases.

b.) The mathematical equation that is derived is f = (u)(Fn). This means that friction is equal to the coefficient of friction multiplied with the force normal of an object. The coefficient of friction represents the ratio of the force of friction between two surfaces and the force pressing them together. When two substances rub together there is a resistance, the coefficient of friction is a measure meant of this force. The force normal is the force of a surface acting on an object and is perpendicular to the plane of contact. The meaning of the slope is the force applied per kilogram on the object. The y-intercept is not significant because the five percent rule excludes it. However, since the y-intercept is zero, its means that at no force pulling on the mass, there is no friction.

c.) Newton’s third law of motion: for every force, there is an equal and opposite force. Static friction: frictional force is sufficient to prevent relative motion between surfaces. Kinetic friction: occurs when there is relative sliding motion at the interface of the surfaces in contact. Normal force: acts perpendicular to and away from the surface. Coefficient of friction: measure of force of friction between two surfaces.

d.) Errors include not finding the exact point on the graph at the end of the jerk for static friction, being off a little on the kinetic friction because the slope was not exactly zero, changing the speed by which the box was pulled across the table during one trial which can throw off the average kinetic...

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