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1.

  • p1iv+p2i=p1f+p2f
    • m1v1i+m2v2i=m1v1f+m2v2f
    • v1f=(m1v1i+m2v2i-m2v2f)/m1
    • v1f={(0.5 kg)(2 m/s)+(0.3 kg)(-4 m/s)-(0.3 kg)(2 m/s)}/0.5 kg
    • v1f= -1.6 m/s
    • v1f= 1.6 m/s west

2.

  • m1v1i+m2v2i=m1v1f+m2v2f
    • (2.0 kg)(6 m/s)+(3.0 kg)(-v2i)=(2.0 kg)(0 m/s)+(3.0 m/s)(0 m/s)
    • 12 kg•m/s+(-3 kg•v2i)=0 m/s+0 m/s
    • (-3 kg•v2i)= -12 kg•m/s
    • v2i=4 m/s or choice 4

3.

  • m1v1i+m2v2i=m1v1f+m2v2f
    • (4.0 kg)(3 m/s)+(6.0 kg)(-2 m/s)=pf
    • 12 kg•m/s+ -12 kg•m/s=pf
    • 0 m/s=pf or choice 4

4. When two objects collide, the one thing that remains constant is the momentum in the system; total momentum of the objects remains unchanged. choice 4

5.

  • m1v1i+m2v2i=m1v1f+m2v2f
    • (1.0 kg)(10 m/s)+(0.5 kg)(0 m/s)=(m1v1f+m2v2f
    • 10 kg•m/s+0 m/s= pf
    • 10 kg•m/s=pf
    • 10 kg•m/s east or choice 3

6.

  • m1v1i+m2v2i=m1v1f+m2v2f
    • (20. kg)(6 m/s)+(30. kg)(-v2i)=(20. kg)(0 m/s)+(30. kg)(0 m/s)
    • 120 kg•m/s+(30. kg)(-v2i)= 0 m/s
    • (30. kg)(-v2i)= -120 kg•m/s
    • v2i=4.0 m/s or choice 4

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