Problem: A package of mass m is released from rest at a warehouse loading dock and slides down a h = 3.6 m high frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute.(a) Suppose the packages stick together. What is their common speed after the collision?m/s(b) Suppose the collision between the packages is elastic. To what height does the package of mass m rebound?cm

FREE Expert Solution

(a) 

Conservation of energy:

P.E = K.E

mgh=12mv02v0=2gh=(2)(9.81)(3.6)

v0 = 8.4 m/s

Conservation of momentum:

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Problem Details

A package of mass m is released from rest at a warehouse loading dock and slides down a h = 3.6 m high frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 2m, from the bottom of the chute.



(a) Suppose the packages stick together. What is their common speed after the collision?

m/s

(b) Suppose the collision between the packages is elastic. To what height does the package of mass m rebound?

cm