Description
Please solve the attached 9 problems
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Explanation & Answer
HiPlease check the attached file for details, let me know if you have any questions, thank you. James
1.
a. Sketch of force field in z=0.
b.
xˆ
F
x
x 3
yˆ
y
by
zˆ
z
cz
0 xˆ 0 yˆ 0k
0
The force is conservative.
c.
W F dr
C
F d ( xxˆ x 3 yˆ )
2
0
2
(x 3 3bx 5 )dx
0
4 32b
2.
a.
V
V
V
F V (
xˆ
yˆ
zˆ )
x
y
z
1
1
x 3 y 4 xˆ x 4 y 3 yˆ 2e z zˆ
2
2
b.
V
F V
rˆ
r
C
2 3
r
3.
a.
The force the particle experienced is
F qE qExˆ
Using Newton’s second law, the equation of motion is
d 2r
m 2 F qExˆ
dt
d 2r
m 2 qExˆ
dt
In component form,
d 2x
m 2 qE
dt
d2y
m 2 0
dt
d 2z
m 2 0
dt
...