A spring having contant k=2xsquare+3x find out the work done if spring displaced X=1 to X=3
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Explanation:
Given that,
Force F=7−2x+3x
2
We know that,
F=
dx
dw
dw=Fdx
Now, the work done is
∫dw=
0
∫
5
F⋅dx
∫dw=
0
∫
5
(7−2x+3x
2
)dx
W=[7x−
2
2x
2
+
3
3x
3
]
0
5
W=35−25+125
W=135J
Hence, the work done is 135 J
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