FormulaSheetTestI - Physics 1311 Exam #1 24 February 2010...

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Physics 1311 Exam #1 24 February 2010 Formula/Data Sheets (Nothing written on these sheets will be graded) Vectors ± A := ± A x ,A y z ² = A x ˆx + A y ˆy + A z ˆz Unit vector: ˆ A := ± A | ± A | Relative vectors: If ± v AB denotes “velocity of A with respect to B”, then ± v AB + ± v BC = ± v AC . Kinematics: Defnitions ± r := x + y + z = ± x , y , z ² ± v avg := ± Δr Δ t ± a avg := ± Δv Δ t ± Δr := ± r f - ± r i ± v := d ± r dt ± a := d ± v dt Kinematics: Constant Acceleration Motion (Non-Relativistic) ± Δr = ± v avg Δ t = 1 2 ( ± v i + ± v f ) Δ t ± Δr = ± v i Δ t + 1 2 ± a t ) 2 ± Δv = ± a Δ tv 2 fx = v 2 ix +2 a x x ) (etc.) Translational Dynamics Linear momentum: ± p := γm ± v with γ := 1 ± 1 - v 2 /c 2 Types o± Forces Gravitational Approximation at Earth’s surface: ± F = m ± g Newtonian gravity: ± F 12 = - Gm 1 m 2 r 2 12 ˆr 12 Electric Coulomb’s Law: ± F 12 = kq 1 q 2 r 2 12 12
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Physics 1311 Exam #1 24 February 2010 Types of Forces (continued) Elastic (Tension/Compression) Springs (Hooke’s Law): ± F = - k ± x for x := L - L 0 Stress: σ := F T /A Strain: ± := Δ L/L Young’s modulus (tensile modulus): macroscopic: Y := σ/± microscopic: Y = k 1 /d for interatomic bond length d and sti±ness k 1 Dissipative Sliding friction:
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FormulaSheetTestI - Physics 1311 Exam #1 24 February 2010...

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