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Standard XII

Physics

Work Done When Force Is Varying

Force F on a ...

Question

Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in the figure
The work done on the particle during its displacement of $12 m$ is

18 J

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21 J

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26 J

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13 J

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Solution

The correct option is D $13 J$
Total work done= $W = \int_{3}^{12} \to F . d \to x$
also, $W_{t r a p} = \frac{1}{2} \times h \times$ sum of parallel sides
$W = \frac{1}{2} \times (2 - 0) \times (9 + 4) W = 13 J$

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Force F on a particle moving in a straight line varies with distance d as shown in the figure The work done on the particle during its displacement of 12 m is

The correct option is D 13 J Total work done= W=∫123→F.d→x also, Wtrap=12×h× sum of parallel sides W=12×(2−0)×(9+4)W=13 J

Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in the figure
The work done on the particle during its displacement of $12 m$ is

The correct option is D $13 J$
Total work done= $W = \int_{3}^{12} \to F . d \to x$
also, $W_{t r a p} = \frac{1}{2} \times h \times$ sum of parallel sides
$W = \frac{1}{2} \times (2 - 0) \times (9 + 4) W = 13 J$