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Physics
Physics
Problem
A particle moves along the
x
x
x
-axis from
x
=
0
x=0
x
=
0
to
x
=
6
m
x=6\,\text{m}
x
=
6
m
. The force acting on it is defined as follows: • For
0
≤
x
≤
3
m
0 \le x \le 3\,\text{m}
0
≤
x
≤
3
m
,
F
=
6
N
F = 6\,\text{N}
F
=
6
N
. • For
3
≤
x
≤
6
m
3 \le x \le 6\,\text{m}
3
≤
x
≤
6
m
,
F
(
x
)
=
6
−
2
(
x
−
3
)
N
F(x)=6-2(x-3)\,\text{N}
F
(
x
)
=
6
−
2
(
x
−
3
)
N
. The total work done on the particle during the
6
m
6\,\text{m}
6
m
displacement is a)
36
J
36\,\text{J}
36
J
b)
18
J
18\,\text{J}
18
J
c)
27
J
27\,\text{J}
27
J
d)
24
J
24\,\text{J}
24
J
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