# Ch. 9 Key Equations - University Physics Volume 1 _ OpenStax.pdf

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This preview shows page 1 out of 2 pages. Unformatted text preview: 11/1/21, 2:18 PM Ch. 9 Key Equations - University Physics Volume 1 | OpenStax Key Equations Definition of momentum ⃗ = ⃗ f Impulse ⃗ ≡ ⃗ ⃗ ⃗ () or = ave ∫ i Impulsemomentum theorem ⃗ = ⃗ Average force from momentum ⃗ = Instantaneous force from momentum (Newton’s second law) ⃗ () = Conservation of momentum Generalized conservation of momentum Conservation of momentum in two dimensions External forces ⃗ 1 ⃗ + ⃗ ⃗ 2 or ⃗ 1 + ⃗ 2 = constant ∑ ⃗ = constant =1 f, = 1,i, + 2,i, f, = 1,i, + 2,i, ⃗ ext = ⃗ ∑ =1 Newton’s second law for an = 0 ⃗ = ⃗ CM 1/2 11/1/21, 2:18 PM Ch. 9 Key Equations - University Physics Volume 1 | OpenStax extended object Acceleration of the center of mass Position of the center of mass for a system of particles ⃗ CM = 2 1 2 ( ∑ ⃗ =1 = ) 1 ∑ ⃗ =1 ⃗ CM ≡ 1 ⃗ ∑ =1 Velocity of the center of mass ⃗ CM = Position of the center of mass of a continuous object ⃗ CM ≡ Rocket equation = ln ( 1 ( =1 1 ∑ ∫ ⃗ = ) 1 ∑ ⃗ =1 ⃗ i ) 2/2 ...
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