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Work and Mechanical Energy

AP Physics 1· difficulty 2/5

A person pulls a sled by a rope at 60∘60^\circ above the horizontal with 50 N50~\text{N} force over 8.0 m8.0~\text{m}. How much work does the rope do on the sled?

  • A

    200 J200~\text{J}

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  • B

    346 J346~\text{J}

  • C

    100 J100~\text{J}

  • D

    400 J400~\text{J}

Explanation

W=Fdcos⁡θ=(50)(8.0)(cos⁡60∘)=(50)(8.0)(0.5)=200 JW = F d\cos\theta = (50)(8.0)(\cos 60^\circ) = (50)(8.0)(0.5) = 200~\text{J}.

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