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AP Physics C: Mechanics
4.3 Conservation of Linear Momentum
AdvancedMCQConceptual18.9k
A horizontal straight line represents a frictionless track. Resting on the track is a wide rectangular cart labeled M supported by four small circular wheels. Standing on the left side of the cart is a stick figure labeled m facing to the left with an arrow pointing left labeled u. Standing on the right side of the cart is an identical stick figure labeled m facing to the right with an arrow pointing right labeled u. No other labels, lines, text, or axes appear.
A cart on a frictionless track carrying two runners who can jump in opposite directions.
A cart of mass \(M\) carries two runners, each of mass \(m\), and is initially at rest on a frictionless horizontal track. If both runners jump off opposite ends of the cart simultaneously with identical horizontal speed \(u\) relative to the cart, the cart remains at rest. However, if the first runner jumps to the left with speed \(u\) relative to the cart, and subsequently the second runner jumps to the right with speed \(u\) relative to the cart, the cart acquires a non-zero final velocity directed to the left. Which of the following statements best explains why the cart moves to the left following the sequential jumps?

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