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Newton's First Law (Translational Equilibrium)

AP Physics 1· difficulty 3/5

A 100 N100~\text{N} weight hangs from two ropes attached to the ceiling. Each rope makes a 60∘60^\circ angle with the vertical. What is the tension in each rope?

  • A

    100 N100~\text{N}

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  • B

    87 N87~\text{N}

  • C

    50 N50~\text{N}

  • D

    58 N58~\text{N}

Explanation

Vertical equilibrium: 2Tcos⁡60∘=W2T\cos 60^\circ = W, so T=W/(2cos⁡60∘)=100/(2⋅0.5)=100 NT = W/(2\cos 60^\circ) = 100/(2 \cdot 0.5) = 100~\text{N}.

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