MasteringPhysics: Ch 06 HW Part 2 Secure https://session.masteringphysics.com/my

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MasteringPhysics: Ch 06 HW Part 2 Secure https://session.masteringphysics.com/myet/itemView?assignmentProblemID+78596574&offset-next; Ch 06 HW Part2Problem 6.63 «previous | 80110 | next Problem 6.63 In an inertial reference frame collision is viewed from an inertial reference frame G, the kinetic energy of the orange is unchanged by the collision. F, an orange of inertia morange and velociy uorange collides totally inelastically with an apple of inertia mapple initalily at rest. When this Part A What does an observer in the F reference frame measure for the velocity of the G reference frame? OvFG = 2_.miura Submlt My Answers Give Up

Explanation / Answer

A) Let 'v' be the final velocity of the orange in the inertial frame F.

Using conservation of linear momentum for the inelastic collision, we get,

morangevorange = (morange + mapple)v

=> v = morangevorange / (morange + mapple)

Initial velocity of the orange in the inertial frame G = vorange - vFG

Final velocity of the orange in the inertial frame G = v - vFG

SInce the kinetic energy of the orange remains the same before and after collision in frame G, we have,

vorange - vFG = -(v - vFG)

=> vorange - vFG = vFG - v

=> 2vFG = vorange + v

=> 2vFG = vorange + [morangevorange / (morange + mapple)]

=> 2vFG = vorange{1 + [morange/ (morange + mapple)]}

=> 2vFG = vorange[(2morange + mapple) / (morange + mapple)]

=> vFG = (vorange / 2) [(2morange + mapple) / (morange + mapple)]

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