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Work Done by a Variable Force
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A particle moves along the x - axis from
Question
A particle moves along the x- axis from x=0 to x=5 m under the influence of a force given by
F
=
7
β
2
x
+
3
x
2
.Work done in the process isΒ
A
70
B
270
C
35
D
135
Medium
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Solution
Verified by Toppr
Correct option is D)
Β
w
=
β«
F
d
x
=
β«
0
5
β
7
β
2
x
+
3
x
2
d
x
=
[
7
x
β
2
2
x
2
β
+
3
3
x
2
β
]
0
5
β
=
[
7
x
β
x
2
+
x
3
]
0
5
β
=
[
7
Γ
5
β
5
2
+
5
3
]
β
[
0
β
0
+
0
]
=
[
3
5
β
2
5
+
1
2
5
]
β
0
=
1
3
5
J
In this question, answer is 135 J not 70J
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