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Byju's Answer
Standard XII
Physics
A Curious Question
A particle is...
Question
A particle is displaced from a position
2
^
i
−
^
j
−
^
k
(m) to another position
3
^
i
+
2
^
j
−
2
^
k
(m) under the action of a force
2
^
i
+
^
j
−
^
k
(N). The work done by the force is (in Joule):
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Solution
→
r
2
=
3
^
i
+
2
^
j
−
2
^
k
,
→
r
1
=
2
^
i
−
^
j
+
^
k
Displacement
=
→
r
2
−
→
r
1
=
^
i
+
3
^
j
−
3
^
k
W
=
→
F
.
−
→
Δ
s
=
(
2
^
i
+
^
j
−
^
k
)
.
(
^
i
+
3
^
j
−
3
^
k
)
=
(
2
+
3
+
3
)
=
8
Joule
Suggest Corrections
38
Similar questions
Q.
A particle is displaced from a position
(
2
^
i
−
^
j
+
^
k
)
metre to another position
(
3
^
i
+
2
^
j
−
2
^
k
)
metre under the action of force
(
2
^
i
+
^
j
−
^
k
)
N
. Work done by the force is
Q.
A uniform force of
(
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^
i
+
^
j
)
N
acts on a particle of mass 2kg. Hence, the particle is displaced from position
(
2
^
i
+
^
k
)
m
to position
(
4
^
i
+
3
^
j
−
^
k
)
m
. The work done by the force on the particle is:
Q.
A particle moves from the position
→
r
1
=
3
^
i
+
2
^
j
−
6
^
k
to position
→
r
2
=
14
^
i
+
13
^
j
+
9
^
k
under the action of a force
→
F
=
4
^
i
+
^
j
+
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. The work done by the force is
Q.
A uniform force of
(
3
^
i
+
^
j
)
N
acts on a particle of mass
2
kg
.
Hence the particle is displaced from position
(
2
^
i
+
^
k
)
m
to position
(
4
^
i
+
3
^
j
−
^
k
)
m
.
The work done by the force on the particle is -
Q.
A uniform force of
(
3
^
i
+
^
j
)
newton acts on a particle of mass
2
k
g
Hence the particle is displaced from position
(
2
^
i
+
^
k
)
metre to position
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4
^
i
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j
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^
k
)
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