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AP EAPCET 20-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 86
Total: 160
When a force
→
F
=
17
−
2
x
+
6
x
2
N
acts on a body of mass
2
kg
and displaces it from
x
=
0
m
to
x
=
8
m
, the work done is ______
1096 J
270 J
35 J
135 J
Validate
Solution:
Given,
Force on body,
F
=
17
−
2
x
+
6
x
2
Mass of body,
m
=
2
kg
Initial position,
x
i
=
0
m
Final position,
x
f
=
8
m
Since,
work,
∫
dW
=
∫
F
.
dx
=
∫
(
17
−
2
x
+
6
x
2
)
d
x
⇒
W
=
17
x
−
2
x
2
2
+
6
x
3
3
|
0
8
=
17
x
−
x
2
+
2
x
3
|
0
8
=
17
×
8
−
8
2
+
2
×
8
3
=
1096
J
© examsnet.com
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