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Byju's Answer
Standard XII
Physics
Work Energy Theorem Application
Prove Work En...
Question
Prove Work Energy Theorem by a variable force.
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Solution
Δ
W
=
F
(
x
)
Δ
x
W
=
∑
x
f
x
i
F
(
x
)
Δ
x
W
=
lim
Δ
x
→
0
∑
x
f
x
i
F
(
x
)
Δ
x
or,
W
=
∫
x
f
x
i
F
(
x
)
d
x
K
=
1
2
m
v
2
d
K
d
t
=
m
d
v
d
t
⋅
v
⇒
d
K
d
t
=
F
d
x
d
t
⇒
Δ
K
=
∫
x
f
x
i
F
⋅
d
x
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