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5.Work, Energy, Power and Collision
medium
A particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown. If it starts its journey from rest at $x=0$, then its velocity at $x=12 \,m$ is .............. $m / s$

A
$0$
B
$20 \sqrt{2}$
C
$20 \sqrt{3}$
D
$40$
Solution
(d)
Total work done $=$ Area under $F-x$ curve $=\Delta K . E$.
$\frac{1}{2}(4)(10)+\frac{1}{2}(4) 10+40=\Delta K$
$80 \,J=\frac{1}{2}(0.1) v^2$
$v=40 \,m / s$
Standard 11
Physics