Coliding Blocks-Classical Physics-Exam Solution, Exams of Classical Physics

Download Coliding Blocks-Classical Physics-Exam Solution and more Exams Classical Physics in PDF only on Docsity!

1. Problem 1 of 7 Colliding blocks, (10 points) A mass M, is sliding with velocity vp along a frictionless table toward three masses My, Mg, and MM, which are sitting at rest in the path of M4,, as shown. The masses get successively much smaller, so that My < Mg «& Mz < Mi, where the symbol “<” means “much smaller than”. What is the velocity of mass M, after all the collisions have happened? Assume that all the collisions are perfectly clastic. Hint: This problem is easiest if you consider each collision individually. My Ze First collision: Two Ways +o approach problem, Let primed variables denote Velocities atte cullision. LAB FRAME 1 My CENTER: OF WSS FRAME Po Mivo = Me vi + Mave! =>V,= Ms Vor Maa M>>M, DM, is Conte & mass EB. 4 Mive = TMV, + +imiv,” ' Ve Vo (cm velaerdy) t a mb m, (Sie tamer eva snag Mes © Maer Vo ‘ - , VWezo Wie V, mech, =m,ve = 2MavoV, + M3 y! Va Ma Ve ee, oe Ma oa 2.( £2) t Vz = VaetV= 2V5 a7 Ve Vi t my we) 2 => Vz= 2V, => Vy 2 1V, Simibocly, fur each sbsequect Callison’, Second Collision» Ve = 2 (av) 2 4V_ Third collisions VE = 2O4AVI=ARV ayy | Vi= &v, R | a docsity.com