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AP Physics 1
6.4 Conservation of Angular Momentum
6.3 Angular Momentum and Angular Impulse
IntermediateMCQMathematical13.6k
Top-down map view. A horizontal road, drawn as two parallel solid lines, runs across the upper part of the image from the left edge to the right edge. A vertical road, also two parallel solid lines, runs from the top to the bottom edge on the right side, crossing the horizontal road to form a plus-shaped intersection. On the horizontal road near the left end sits a small gray rectangle labeled 'Car A' above it, with a short arrow to its right pointing right (east). On the vertical road below the intersection sits a small gray rectangle labeled 'Car B' to its right, with a short arrow above it pointing up (north). In the lower-left region is a small solid black dot (the flagpole). A vertical dashed line rises from the dot straight up to the bottom edge of the horizontal road directly below Car A, labeled d_A beside it. A horizontal dashed line runs from the dot straight right to the left edge of the vertical road beside Car B, labeled d_B above it. In the upper-right corner is a compass rose: a four-headed cross of arrows labeled N (up), S (down), E (right), W (left). No other labels, lines, text, or axes appear.
Car A heads east and Car B heads north toward an intersection; dashed lines give their closest distances to the flagpole.
Car A of mass \( m_A \) is moving to the east along a straight road. Car B of mass \( m_B \) is moving to the north along another straight road. At the instant \( t = 0 \) shown in the figure, both cars are at their closest point to a flagpole, with Car A a distance \( d_A \) from the flagpole and Car B a distance \( d_B \) from the flagpole. The cars continue, each moving with constant speed, and reach the intersection of the two roads at time \( t = t_f \). Which of the following correctly expresses the magnitude of the total angular momentum of the two-car system about the flagpole at time \( t = 0 \)?

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