Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Physics
Physics
Problem
A particle is moving in a potential region given by
U
=
K
(
x
2
+
y
2
+
z
2
)
U = K(x^2 + y^2 + z^2)
U
=
K
(
x
2
+
y
2
+
z
2
)
. The force acting on the particle is given by- (1)
−
2
K
(
x
i
^
+
y
j
^
+
z
k
^
)
-2K(x\hat{i} + y\hat{j} + z\hat{k})
−
2
K
(
x
i
^
+
y
j
^
+
z
k
^
)
(2)
K
(
x
i
^
+
y
j
^
+
z
k
^
)
K(x\hat{i} + y\hat{j} + z\hat{k})
K
(
x
i
^
+
y
j
^
+
z
k
^
)
(3)
K
2
(
x
i
^
+
y
j
^
+
z
k
^
)
\frac{K}{2}(x\hat{i} + y\hat{j} + z\hat{k})
2
K
(
x
i
^
+
y
j
^
+
z
k
^
)
(4)
K
(
x
2
i
^
+
y
2
j
^
+
z
2
k
^
)
K(x^2\hat{i} + y^2\hat{j} + z^2\hat{k})
K
(
x
2
i
^
+
y
2
j
^
+
z
2
k
^
)
Browse the problem library