PHYS 200 Unit 8: Linear Momentum and Collisions

Question	Answer
linear momentum	-product of system's mess multiplied by its velocity -p = mv
Newton's Second Law and Momentum	F_net = Δp/Δt
impulse	change in momentum equals average net external force multiplied by time force acts
impulse formula	Δp = F_net x Δt
isolated system	-one for which net external force is 0 (F_net = 0) -conservation of momentum applies only when net external force is 0
conservation of momentum principle	-p_tot = constant -valid when considering systems of particles
elastic collision	conserves internal kinetic energy
inelastic collision	one in which internal kinetic energy changes
conservation of momentum (1D collision)	-(m_1)(v_1) + (m_2)(v_2) = (m_1)(v_1') + (m_2)(v_2') -1/2(m_1)(v_1)^2 + 1/2(m_2)(v_2)^2 = 1/2(m_1)(v_1')^2 + 1/2(m_2)(v_2')^2
conservation of momentum (2D collision)	-x-axis: (m_1)(v_1) = (m_1)(v_1')cosθ_1 + (m_2)(v_2')cosθ_2 -y-axis: 0 = (m_1)(v_1')sinθ_1 + (m_2)(v_2')sinθ_2
acceleration of rocket	a = (v_e)/m x Δm/Δt - g
final velocity of one-stage rocket initially at rest	v = v_e ln(m_0/m_r)

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