All the formulas for Friction​

f = \mu N

Explanation:

Newton’s 2nd Law

o Fnet = mass x acceleration = m * a

o If force is gravitational (Fg or weight↓),

 Weight = mass * gravitational acceleration

 Weight = m * g

Kinematic Equations (general)

o vf = v0 + at

o vf

2

= v0

2

+ 2ad

o d = v0t + ½ at2

Inclined Plane ( ) - F|| vs Ff

o F|| down plane (causing motion) = mg sin

o Ff up plane (friction force opposing motion) = mg cos

Friction

o Coefficient = Force of friction (Ff) (0 < <1)

Normal force (FN)

Ff = FN

Net Force (Fnet)

o Flat plane: Fnet = Fa – Ff = Fa – μmg

o Inclined plane: Fnet = F|| - Ff = mgsinθ = μmgcosθ

Pressure

o P = Applied force

area of application

o P = F/A (= mg/A when using a gravity or weight model)

Conversion

o cm2

x 10-4

= m2

o mm2

x 10-6

= m2

Units

o Force - Newtons

o Pressure - N/m2

or Pascals (Pa)

Explanation:

Friction happens when two surfaces move over one another. Also, it is a force that resists the motion of an object. Moreover, it causes motion energy to be lost in the form of heat. Besides, we use the coefficient of friction to describe how two surfaces interact. Furthermore, the Greek letter ‘mu’ (μ), and it is unitless. In addition, the force of friction is η times the normal force on an object. Most noteworthy, the unit of friction is Newton (N).

Friction = (coefficient of friction) (normal force)

Ff = μη

Derivation of the formula

Ff = refers to the force of friction acting on the object

μ = refers to the coefficient of friction

η = refers to the normal force acting on the object

.

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2

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