Rolling

AP Physics 1· difficulty 4/5

block (frictionless) sphere (rolls)

A frictionless block slides down a ramp from height hh, while a solid sphere rolls without slipping down an identical ramp from the same height. The ratio of the block's bottom speed to the sphere's bottom speed is closest to:

  • A

    7/51.18\sqrt{7/5} \approx 1.18

    check_circle
  • B

    5/70.85\sqrt{5/7} \approx 0.85

  • C

    1.001.00

  • D

    2\sqrt{2}

Explanation

Block: vb=2ghv_b = \sqrt{2gh}. Sphere: vs=10gh/7v_s = \sqrt{10gh/7}. Ratio vb/vs=7/51.18v_b/v_s = \sqrt{7/5} \approx 1.18.

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