Translational Kinetic Energy Practice

Sample questions

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1. Sample 1difficulty 1/5

   A $2.0~\text{kg}$ object moves at $6.0~\text{m/s}$. What is its kinetic energy?

   • A

     $36~\text{J}$

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   • B

     $6~\text{J}$

   • C

     $18~\text{J}$

   • D

     $12~\text{J}$

   Why

   $K = \tfrac{1}{2}m v^2 = \tfrac{1}{2}(2.0)(6.0)^2 = 36~\text{J}$.

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2. Sample 2difficulty 1/5

   If an object's speed doubles, its kinetic energy

   • A

     Quadruples

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   • B

     Doubles

   • C

     Stays the same

   • D

     Halves

   Why

   $K = \tfrac{1}{2}m v^2$, so $K \propto v^2$. Doubling $v$ → $4K$.

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3. Sample 3difficulty 2/5

   Two objects have the same momentum but masses $m_1 = m$ and $m_2 = 4m$. The ratio of their kinetic energies $K_1/K_2$ is

   • A

     $1/16$

   • B

     $4$

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   • C

     $16$

   • D

     $1/4$

   Why

   $K = p^2/(2m)$. Same $p$: $K_1/K_2 = m_2/m_1 = 4$.

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