Physics Formulas: Unit 2

F_net=mgsinθ-F_fr

Acceleration down a ramp

F_fr=μ(F_g-F_appsinθ)

Pulling up at an angle of an object on a horizontal surface

F_fr≤μF_N

Friction equation

T₁=T₂(cosΦ/cosθ)

AND
T₂=((cosΦ/cosθ)sinθ)+T₂sinΦ=F_g

For finding tension of booth strings holding a hanging object

F_fr=μmgcosθ

Friction on an incline

T=m₁a

m₂g-T=m₂a

T=m₁a+m₁g

Tension correlating to block on table

Block dropping down

Block rising up

F_net=Fapp-F_fr (where F^_app is cosθ)

x direction for an object being pushed/pulled at an angle

F= (μmg)/(cosθ+μ_ksinθ)

Constant speed of being pulled at an angle upward

a=(F_net)/(a) OR F_net=ma

newton’s 3rd law

F_T=m(g+a)

F_T=m(g-a)

a=(g(m₁-m₂))/(m₁+m₂)

vertical acceleration solving for tension going up

vertical acceleration solving for tension going down

solving for acceleration with 2 masses over a frictionless pulley

F_N=mg-Fsinθ

Pulling upward at an angle

F_N=mgcosθ

sitting on an inclined ramp at an angle

F₁₁=mgsinθ

parallel component of gravity

F_N=mg+sinθ

pushing downward at an angle

F_fr=μ(F_appsinθ+Fg)

pushing down at an angle on an object on a horizontal surface

F_N=Fg

F_app-F_fr=F_net

F_fr=F_app

horizontal with no vertical component

when F_appis greater than F_fr

constant speed where F_net=0

F₁₁=F_fr

F=ma⟶ma=mgsinθ⟶a=gsinθ

F=ma⟶F_net=ma⟶F_net=F₁₁-F_fr

Acceleration when there’s constant velocity

acceleration if its smooth or frictionless

when there’s friction an acceleration

a=[(g(m₂-(μm₁cosθ)-(m₁sinθ)))]/m₂+m₁

acceleration of 2 masses on an incline (1 hanging, 1 on incline)