Change in Momentum and Impulse

AP Physics 1· difficulty 2/5

0 0.2 0.4 0 60 t (s) F (N)

A triangular force pulse rises to 60 N60~\text{N} at t=0.2 st = 0.2~\text{s} and falls back to zero at t=0.4 st = 0.4~\text{s}. What total impulse does it deliver?

  • A

    24 N⋅s24~\text{N·s}

  • B

    60 N⋅s60~\text{N·s}

  • C

    12 N⋅s12~\text{N·s}

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  • D

    6.0 N⋅s6.0~\text{N·s}

Explanation

Impulse equals the area under the FF-vs-tt curve: triangle with base 0.4 s0.4~\text{s} and height 60 N60~\text{N}12(0.4)(60)=12 N⋅s\tfrac{1}{2}(0.4)(60) = 12~\text{N·s}.

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