First slide

Work done by Diff type of forces

Question

A spring of force constant 'k' is stretched by a small length 'x'. The work done in stretching it further by a small length 'y' is,

Easy

A

$\large \frac{1}{2}k({x^2} + {y^2})$
B

$\large \frac{1}{2}k{(x + y)^2}$
C

$\large \frac{1}{2}k({y^2} - {x^2})$
D

$\large \frac{1}{2}ky(2x + y)$

Solution

$\large w = \frac{1}{2}K({(x + y)^2} - {x^2})$
$\large w = \frac{1}{2}K({x^2} + {y^2} + 2xy - {x^2}) = \frac{1}{2}Ky(2x + y)$

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