a particle of mass m moving along a straight line experiences force F which varies with the distance travelled as shown in the graph if the velocity of the particle at x is root 2fx/m then velocity at 2x is
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Explanation:
A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at x
0
is
m
2F
0
x
0
, then velocity at 4x
0
is:
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Solution
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Correct option is
D
none of these
Increase in KE = work done by all forces
ΔKE=F
net
⋅ds
2
1
mv
2
2
−
2
1
m×(
m
2F
0
x
0
)=
2
1
(2F
0
+F
0
)3x
0
⇒v
2
=
m
11F
0
x
0
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F
=y
i
^
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j
^
newton acts on the particle, where x,y denote the coordinates of position of the particle. The work done by this force in taking the particle from point A (a,0) to point B (0,a) along the circular path is
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