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Potential Energy

AP Physics 1· difficulty 3/5

A spring stops a moving block in compression xx. If the block's mass doubles (same initial speed), the new compression is

  • A

    2 x\sqrt{2}\,x

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  • B

    x/2x/2

  • C

    x/2x/\sqrt{2}

  • D

    xx

Explanation

12mv2=12kx2\tfrac{1}{2}m v^2 = \tfrac{1}{2}k x^2. Doubling mm: xnew=xmnew/m=2 xx_\text{new} = x \sqrt{m_\text{new}/m} = \sqrt 2\, x.

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