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Three identical small spheres, each of weight 2 lb, can
Chapter 14, Problem 14.49(choose chapter or problem)
Three identical small spheres, each of weight 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A which is moving to the right with a velocity \(\mathbf{v}_0=(8\ \mathrm{ft}/\mathrm{s})\mathbf{i}\). Knowing that \(\mathrm{u}=45^{\circ}\) and that the velocities of spheres A and B immediately after the impact are \(\mathbf{v}_{A}=0\) and \(\mathbf{v}_B=(6\ \mathrm{ft}/\mathrm{s})\mathbf{i}+\left(\mathbf{v}_B\right)_y\mathbf{j}\), determine \(\left(v_{B}\right)_{y}\) and the velocity of C immediately after impact.
Questions & Answers
QUESTION:
Three identical small spheres, each of weight 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A which is moving to the right with a velocity \(\mathbf{v}_0=(8\ \mathrm{ft}/\mathrm{s})\mathbf{i}\). Knowing that \(\mathrm{u}=45^{\circ}\) and that the velocities of spheres A and B immediately after the impact are \(\mathbf{v}_{A}=0\) and \(\mathbf{v}_B=(6\ \mathrm{ft}/\mathrm{s})\mathbf{i}+\left(\mathbf{v}_B\right)_y\mathbf{j}\), determine \(\left(v_{B}\right)_{y}\) and the velocity of C immediately after impact.
ANSWER:
Problem 14.49Three identical small spheres, each of weight 2 lb, can slide freely on a horizontalfrictionless surface. Spheres B and C are connected by a light rod and are at rest in theposition shown when sphere B is struck squarely by sphere A which is moving to the rightwith a velocity v0 5 (8 ft/s)i. Knowing that u 5 458 and that the velocities of spheres A and Bimmediately after the impact are vA 5 0 and vB 5 (6 ft/s)i 1 (vB)y j, determine (vB)y and thevelocity of C immediately after impact. Step by step solution Step 1 of 2Let be the mass of one ball.Conservation of linear momentum:Dividing by m and applying numerical data,Components: