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Byju's Answer
Standard XII
Physics
Gravitational Field
The gravitati...
Question
The gravitational potential due to a mass distribution is
V
=
3
x
2
y
+
y
3
z
. Find the gravitational field.
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Solution
We know that from definition,
E
=
−
(
∂
V
∂
x
i
+
∂
V
∂
y
j
+
∂
V
∂
z
k
)
Thus,
E
=
−
(
6
x
y
i
+
3
(
x
2
+
y
2
z
)
j
+
y
3
k
)
Answer is
E
=
−
6
x
y
i
−
3
(
x
2
+
y
2
z
)
j
−
y
3
k
.
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