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Byju's Answer
Standard XIII
Physics
Work Energy Theorem
A particle of...
Question
A particle of mass
m
accelerating uniformly has velocity
v
at time
t
1
. What is work done in time
t
?
A
1
2
m
v
2
t
2
1
t
2
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B
1
2
(
m
t
1
)
2
t
2
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C
m
v
2
t
2
1
t
2
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D
2
m
v
2
t
2
1
t
2
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Solution
The correct option is
A
1
2
m
v
2
t
2
1
t
2
Given that
v
=
a
t
1
∴
a
=
v
t
1
Let at any time
t
speed be
v
′
Hence from work energy theorem
W
=
1
2
m
v
′
2
=
1
2
m
(
a
t
)
2
=
1
2
m
(
v
t
1
×
t
)
2
=
1
2
m
v
2
t
2
t
2
1
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