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Work and Mechanical Energy

AP Physics 1· difficulty 2/5

0 2 5 7 0 10 x (m) F (N)

The graph shows the net force FF on an object as a function of position xx. How much work is done on the object from x=0x = 0 to x=7 mx = 7~\text{m}?

  • A

    50 J50~\text{J}

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  • B

    70 J70~\text{J}

  • C

    25 J25~\text{J}

  • D

    35 J35~\text{J}

Explanation

Work equals the area under FF-vs-xx: two triangles (12(2)(10)=10\tfrac{1}{2}(2)(10) = 10 each) + a rectangle (3×10=303 \times 10 = 30) =10+30+10=50 J= 10 + 30 + 10 = 50~\text{J}.

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