Linear Momentum Practice

Sample questions

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1. Sample 1difficulty 1/5

   A $0.50~\text{kg}$ ball moves at $12~\text{m/s}$. What is the magnitude of its momentum?

   • A

     $24~\text{kg·m/s}$

   • B

     $6.0~\text{kg·m/s}$

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   • C

     $12~\text{kg·m/s}$

   • D

     $36~\text{kg·m/s}$

   Why

   $p = m v = (0.50)(12) = 6.0~\text{kg·m/s}$.

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2. Sample 2difficulty 2/5

   A $0.5~\text{kg}$ ball moving east at $4~\text{m/s}$ has momentum

   • A

     $2~\text{kg·m/s}$ east

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   • B

     $8~\text{kg·m/s}$ east

   • C

     $2~\text{kg·m/s}$ west

   • D

     $0.5~\text{kg·m/s}$ east

   Why

   $p = m v = 2.0~\text{kg·m/s}$ in the direction of motion.

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3. Sample 3difficulty 2/5

   Two masses approach each other on a frictionless 1-D track: $m_1 = 2~\text{kg}$ at $+5~\text{m/s}$ and $m_2 = 3~\text{kg}$ at $-2~\text{m/s}$. After they collide and stick, the common velocity is

   • A

     $-0.4~\text{m/s}$

   • B

     $+1.4~\text{m/s}$

   • C

     $+5~\text{m/s}$

   • D

     $+0.8~\text{m/s}$

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   Why

   $p_i = (2)(5) + (3)(-2) = 10 - 6 = 4$. $v' = 4/5 = 0.8~\text{m/s}$.

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