school
Acemy

Conservation of Linear Momentum

AP Physics 1· difficulty 4/5

A 500 kg500\,\text{kg} cannon at rest fires a 5.0 kg5.0\,\text{kg} ball with horizontal muzzle speed 200 m/s200\,\text{m/s} relative to the ground. What is the cannon's recoil speed immediately after firing?

  • A

    vc=1.0 m/sv_c=1.0\,\text{m/s}

  • B

    vc=2.0 m/sv_c=2.0\,\text{m/s}

    check_circle
  • C

    vc=5.0 m/sv_c=5.0\,\text{m/s}

  • D

    vc=4.0 m/sv_c=4.0\,\text{m/s}

Explanation

Conservation: 0=Mvc−mvb⇒vc=mvb/M=(5)(200)/500=2.0 m/s0=Mv_c-m v_b\Rightarrow v_c=mv_b/M=(5)(200)/500=2.0\,\text{m/s}.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode