Equation Sheet-Exam#1 PDF

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Equation sheet for exam 1...

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Physics 1501: Equation Sheet for Exam 1 Physical constants: G = 6.67 ×10−11 m3 kg−1 s−2

1D Kinematic Equations for constant acceleration: vav = Projectile motion: Newton’s laws:

Forces:

~vAC = ~vAB + ~vBC

3.

~A,B = −F~B,A F F =

Gm1 m2 . r2

~ = m~g W ~ k = −µk | N ~ |ˆ F eu max ~| Fs ≤ Fs = µs |N ~ N T

On Earth:

with

g=

GME . R2E

(kinetic): eˆu direction of motion (static): in direction opposite to applied force force perpendicular to a surface magnitude of the force “propagated” by a rope/string

Work

W = F D cos ✓ W = −mg∆y (gravity near surface of Earth) ) (work done by spring force)

Potential Energy

∆U = Uf − Ui U = mgh + C U = 21 kx2 + C GME m U =− r

Kinetic Energy Work-energy theorem Conservation of energy Non-conservative forces Average Power

motion:

Relative velocity:

Absence of net force (F~NET = 0), ~v is constant

Normal Tension Spring Force

Circular

, v = v0 + a t , v 2 − v02 = 2a (x − x0 )

1.

Weight Friction

Work and Energy:

(v + v0 )

ay = −g and ax = 0

Newton’s law:

Gravity:

1 2

Angular quantities UCM Centripetal force

= −W (conservative forces) (gravity near surface of Earth) (spring) + C (gravity)

K = 12 mv 2 WNET = ∆K = Kf − Ki E =K +U WNC = ∆E = ∆K + ∆U W = F v¯ cos ✓ P¯ = ∆t

: s = R ✓, 2⇡R : ✓ = !t and v = T mv 2 2 : FR = maC = m! r = r

v=R! where T is the period and R the radius aC : centripetal acceleration...