The relationship between force and position is shown in the figur… - Vidyadip

MCQ

The relationship between force and position is shown in the figure $($in one dimensional case$)$. Work done by the force in displacing a body from
$X = 1\ cm$ to $X = 5\ cm$ is:

A
$700$ ergs
B
$70$ ergs
✓
$60$ ergs
D
$20$ ergs

✓

Answer

Correct option: C.

$60$ ergs

Work is area under the curve.
So $\ce{In = In_1 + In_2 + In_3 + In_4}$
$\ce{In_1}=$ arandaundandr $\ce{A_1BCM_2 In_2=}$ arandaundandr $\ce{M_2DEF_3}$
$\ce{In_3} =$ arandaundandr $\ce{F_3GHI_4 In_4=}$ arandaundandr $\ce{I_4JKL_5}$
$\ce{In_1}= 10 \times 1 = 10$ ergs
$\ce{In_2} = 20 \times 1 = 20$ ergs
$\ce{In_3}= −20 \times 1 = −20$ ergs
$\ce{In_4} = 10 \times 1 = 10$ ergs
$\ce{In = In_1 + In_2+ In_3 + In_4} = 10 + 20 − 20 + 10 = 20$ ergs

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