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Unformatted text preview: .... .................................... . .....................S.......... . ..................... .. ................................... ............................... .............................. ... ...................... ................ ............ .. .. . . . .. . .... .... . .. . . .... .... . . . . ... . ... . . . ... . ... . . . . . . . . S . . . y v m m x v Solution: The line of impact is parallel to the y axis. So, there is no need to distinguish between nt and xy coordinates. Tangential-Velocity Invariance. For the spheres, we have the following. vLx = vLx and vSx = vSx The initial velocities of the spheres are such that vLx = 0 and vSx = V . Therefore, the tangential velocity components after the impact are and vSx = V vLx = 0 Vertical-Momentum Conservation. Using the fact that the initial vertical-velocity components for the spheres are vLy = −V and vSy = V , while mL = M and mS = 4 M , momentum conservation along the 5 line of impact tells us that 4 4 −M V + M V = M vLy + M vSy 5 5 Dividing through by M yields 4 1 vLy + vSy = − V 5 5 Impact R...
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