Conservation of Linear Momentum

AP Physics 1· difficulty 4/5

m, 3 m/s m, 4 m/s

Two identical pucks of mass mm move at right angles toward the same point: one at 3m/s3\,\text{m/s} east, the other at 4m/s4\,\text{m/s} north. They collide and stick. What is the speed of the combined puck immediately after?

  • A

    v=7.0m/sv=7.0\,\text{m/s}

  • B

    v=3.5m/sv=3.5\,\text{m/s}

  • C

    v=5.0m/sv=5.0\,\text{m/s}

  • D

    v=2.5m/sv=2.5\,\text{m/s}

    check_circle

Explanation

Momentum components: px=3mp_x=3m, py=4mp_y=4m, p=5m|p|=5m. Combined mass 2m2m, so v=5m/(2m)=2.5m/sv=5m/(2m)=2.5\,\text{m/s}.

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