Equation Sheet Unitv

Unit V - Applications of Kinematics and Dynamics Equation Sheet sin σ =

opposite hypotenuse

cos σ =

adjacent hypotenuse

tan σ =

opposite adjacent

Fx = F cos σ Fy = F sin σ

∑F

x

∑F

= Fx1 + Fx 2 + Fx 3 + K

2

y

    FR =  ∑ Fx  +  ∑ Fy     

sin a sin b sin c = = A B C 1 A = bh 2 vav =

2

= Fy1 + Fy 2 + Fy 3 + K

   ∑ Fy   σ R = tan −1   F   ∑ x 

C 2 = A2 + B 2 − 2 AB cos c

A = LW

∆d ∆t

v v v ∆d d 2 − d1 v vav = = ∆t t2 − t1 v v v ∆v v2 − v1 v aav = = ∆t t2 − t1

Unit V - Applications of Kinematics & Dynamics

© Saskatchewan Learning & Moose Jaw SD #1 http://www.sasked.gov.sk.ca/curr_content/physics30/

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v v v1 + v2 v vav = 2 v v v v2 = v1 + a ∆t v v v ( v1 + v2 ) ∆d = ∆t 2 v v 1v 2 ∆d = v1∆t + a ( ∆t ) 2 v2 v2 v v V2 = V1 + 2a ∆d Fk = µk FN v = gR 4π 2 R ac = T2 1 f = T Fc = mac Gm1m2 d2 Constants: Radius of the Earth: 6.37 x 106 m Mass of the Earth: 5.98 x 1024 kg F=

Nm 2 2 G = 6.67 x 10-11 kg

v v v I = mv f − mvi v mvv2 Fc = R

Unit V - Applications of Kinematics & Dynamics

© Saskatchewan Learning & Moose Jaw SD #1 http://www.sasked.gov.sk.ca/curr_content/physics30/

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v v v m1v1 + m2 v2 = ( m1 + m2 ) v f v v v v m1v1 + m2 v2 = m1v1 ' + m2 v2 ' v v m1v1 '+ m2 v2 ' = 0 v v v (m1 + m2 )v1 = m1 v1 '+ m2 v2 '

Unit V - Applications of Kinematics & Dynamics

© Saskatchewan Learning & Moose Jaw SD #1 http://www.sasked.gov.sk.ca/curr_content/physics30/

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