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  4. Given below is a graph between a variable force (F) (along y-axis) and the displacement (x) (along x-axis) of a particle in one dimension. The work done by the force in the displacement interval between 0 m and 30 m is

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Q. Given below is a graph between a variable force $(F)$ (along $y$-axis) and the displacement $(x)$ (along $x$-axis) of a particle in one dimension. The work done by the force in the displacement interval between $0\, m$ and $30\, m$ isPhysics Question Image

J & K CETJ & K CET 2010Work, Energy and Power

Solution:

Work done $=$ area of $F$-t graph with x-axis
Total area = area of $\Delta ABC$
$+$ area of $\Delta BCDE +$ area of $\Delta ELJE +$
area of $\Delta FGH$ Area of $\Delta ABC=\frac{1}{2} \times 5 \times 10=25\, J$
Area of $\Delta BCDE=10 \times 10=100\, J$
Area of $\Delta EUG=5 \times 30=150\, J$
Area of $\Delta FGH=\frac{1}{2} \times 10 \times 20=100\, J$
$\therefore $ Total area $=25+100+150+100=375\, J$

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