Problem 6) (20 Points) Conservation of Momentum, and Conservation of Energy A package of mass m...

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Problem 6) (20 Points) Conservation of Momentum, and Conservation of Energy A package of mass m = 1 kg is released from rest. It collides with the second package of mass 2m on the horizontal frictionless surface. a) Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m return to? b) If the collision lasted for 0.05 s, then what is the magnitude of the average force that the mass m experienced during the elastic collision? c) Is it any different from the force that 2m experienced? How are they different, how are they similar? d) Now suppose the packages undergo a completely inelastic collision. What is their common speed after the collision? e) Continuing from part (d) if the combined masses encounter a rough patch of surface with coefficient of kinetic friction = 0.2, then how far do they travel before coming to rest? f) Continuing from part (e) how long do they take to stop? k=3m m 2m Problem 6) (20 Points) Conservation of Momentum, and Conservation of Energy A package of mass m = 1 kg is released from rest. It collides with the second package of mass 2m on the horizontal frictionless surface. a) Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m return to? b) If the collision lasted for 0.05 s, then what is the magnitude of the average force that the mass m experienced during the elastic collision? c) Is it any different from the force that 2m experienced? How are they different, how are they similar? d) Now suppose the packages undergo a completely inelastic collision. What is their common speed after the collision? e) Continuing from part (d) if the combined masses encounter a rough patch of surface with coefficient of kinetic friction = 0.2, then how far do they travel before coming to rest? f) Continuing from part (e) how long do they take to stop? k=3m m 2m