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AP Physics C: Mechanics
4.3 Conservation of Linear Momentum
4.1 Linear Momentum
IntermediateMCQMathematicalConceptual24.3k
A top-down schematic view showing two fragments moving away from a detonation point on a horizontal plane. A small open circle marks the initial detonation location. From the open circle, exactly two solid arrows of equal length extend outward into the right half-plane: one arrow points toward the upper right and terminates at a solid circular disk labeled m, with the arrow labeled v_0; the second arrow points toward the lower right and terminates at an identical solid circular disk labeled m, with the arrow labeled v_0. A curved double-ended arc spans between the two arrows and is labeled \theta. No other labels, lines, text, or axes appear.
Trajectories of two fragments of mass \(m\) immediately after the explosion.
A stationary object of total mass \(M\) on a frictionless horizontal surface explodes into three fragments. Two of the fragments, each of mass \(m\), move away along the surface with equal speed \(v_0\) such that the angle between their velocity vectors is \(\theta\), where \(0 < \theta < \pi\). The third fragment has the remaining mass of the object. Which of the following is a correct expression for the speed of the third fragment immediately after the explosion?

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