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Physics
Physics
Problem
A
0.5
kg
0.5\,\text{kg}
0.5
kg
particle moves along a straight track. At
x
=
0
x=0
x
=
0
m its speed is
1
m
s
−
1
1\,\text{m\,s}^{-1}
1
m
s
−
1
. The force acting on it varies with position as follows: (i)
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
m:
F
=
4
x
F=4x
F
=
4
x
N, (ii)
2
<
x
≤
3
2<x\le3
2
<
x
≤
3
m:
F
=
8
F=8
F
=
8
N (constant). Find the speed of the particle at
x
=
3
x=3
x
=
3
m.
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