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From classical mechanics to quantum field theory, momentum is the Universe's preferred language to describe motion. Learn here about momentum, its conservation, and how it captures our intuitions.

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Ball \(A\) of mass \(2\text{ kg}\) is rolling on a frictionless horizontal floor at \(5\text{ m/s}.\) It collides head-on with ball \(B\) of mass \(3\text{ kg}\) which is initially at rest. If we let \(v_A\) and \(v_B\) denote the respective velocities of balls \(A\) and \(B\) after the collision, in which of the following situations are the linear momenta conserved?

Define the initial direction that ball \(A\) moves in as positive direction.

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Object \(A\) of mass \(m_A=2\text{ kg}\) moves with a velocity of \(v=2\text{ m/s}\) toward a stationary object \(B\) of mass \(m_B=4\text{ kg}.\) After the impact, objects \(A\) and \(B\) move off in directions that form \(30^\circ\) and \(45^\circ\) angles with the initial direction of object \(A,\) respectively. Assuming that the system is entirely frictionless, what is the speed of object \(A\) after the collision?

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