278 Linear Momentum and Collisions*P9.63(a)Each object swings down according tomgRmv=1212MgRMv=1212vgR12=The collision:−+= ++mvMvmM v112afvMmMmv21=−+Swinging up:1213522Mm vMm gR+=+−°afaf afcosvgR22135=−°cosaf213520 4250 4251 4250 5750 403gRMmMmgRMmMmmMmM−°+=−+=−==cos.....afaf af(b)No change is required if the force is different. The nature of the forces within the system ofcolliding objects does not affect the total momentum of the system. With strong magneticattraction, the heavier object will be moving somewhat faster and the lighter object fasterstill. Their extra kinetic energy will all be immediately converted into extra internal energywhen the objects latch together. Momentum conservation guarantees that none of the extrakinetic energy remains after the objects join to make them swing higher.P9.64(a)Use conservation of the horizontal component ofmomentum for the system of the shell, the cannon,and the carriage, from just before to just after thecannon firing.ppxfxi=:mvmvshellshellcannonrecoilcos.45 00°+=20012545 05 0000afafbgcos.°+=vrecoilorvrecoilm s=−
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