4m/s -2m/s6kg←3 kg(1) Explain why momentum is always conserved in a collision. Iskinetic energy always conserved? Explain with an example ifneeded.to looldTwo marbles collide as shown in the laboratory frame with thefirst mass (6kg) is moving at 4m/s and the second mass (3kg) moving → at -2m/s (against x).(i) Calculate the final velocities of each mass in the lab frame after the collision, if it is elastic.(ii) Show that momentum is conserved (it is a vector) after the collision in the lab frame.(iii) Calculate kinetic energies before and after the collision and confirm that it is conserved.(iv) If the two masses partly stick together after the collision with a coefficient of restitution ofK=0.5, calculate the overall kinetic energy lost in the collision in the lab frame only.(v) Is momentum conserved or not in the lab frames? Prove your statement.x

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University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 43P: In a frame at rest with respect to the billiard table, a billiard ball of mass m moving with speed v...

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Question

4m/s -2m/s
6kg
←3 kg
(1) Explain why momentum is always conserved in a collision. Is
kinetic energy always conserved? Explain with an example if
needed.
to loold
Two marbles collide as shown in the laboratory frame with the
first mass (6kg) is moving at 4m/s and the second mass (3kg) moving → at -2m/s (against x).
(i) Calculate the final velocities of each mass in the lab frame after the collision, if it is elastic.
(ii) Show that momentum is conserved (it is a vector) after the collision in the lab frame.
(iii) Calculate kinetic energies before and after the collision and confirm that it is conserved.
(iv) If the two masses partly stick together after the collision with a coefficient of restitution of
K=0.5, calculate the overall kinetic energy lost in the collision in the lab frame only.
(v) Is momentum conserved or not in the lab frames? Prove your statement.
x

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