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AP Physics C: Mechanics
4.4 Elastic and Inelastic Collisions
4.3 Conservation of Linear Momentum
4.1 Linear Momentum
AdvancedMCQDrawing RepresentationsMathematicalConceptual25.6k
A top-down view of a horizontal xy-coordinate system. The horizontal axis is labeled x with an arrow to the right, and the vertical axis is labeled y with an arrow pointing upward; the axes intersect at an origin labeled O. In the lower-left region, a circular disk labeled A of mass mA is depicted with a solid black vector arrow labeled vA originating from its center and pointing toward the origin at an angle thetaA above a horizontal dashed reference line. In the lower-right region, a larger circular disk labeled B of mass mB is depicted with a solid black vector arrow labeled vB originating from its center and pointing toward the origin at an angle thetaB above a horizontal dashed reference line. Both pucks have arrows directed toward the collision point at the origin. No other labels, lines, text, or axes appear.
Pucks A and B approaching a completely inelastic collision at the origin.
Two pucks slide on a frictionless horizontal air table and undergo a completely inelastic collision, sticking together. Puck \(A\) has mass \(m_A = 1.0 \text{ kg}\) and initial speed \(v_0 = 5.0 \text{ m/s}\) directed at an angle \(\theta_A\) above the \(+x\)-axis, where \(\cos\theta_A = 0.60\) and \(\sin\theta_A = 0.80\). Puck \(B\) has mass \(m_B = 2.0 \text{ kg}\) and initial speed \(v_0 = 5.0 \text{ m/s}\) directed at an angle \(\theta_B\) above the \(-x\)-axis, where \(\cos\theta_B = 0.60\) and \(\sin\theta_B = 0.80\). Which of the following vector diagrams best represents the post-collision velocity \(\vec{v}_f\) of the combined pucks?

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