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5.Work, Energy, Power and Collision
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A car accelerates from rest to $u\,m / s$. The energy spent in this process is $E\,J$. The energy required to accelerate the car from $u\,m / s$ to $2u\,m / s$ is $nE\,J$. The value of $n$ is ..............
A
$6$
B
$3$
C
$9$
D
$12$
(JEE MAIN-2023)
Solution
$E _1=\frac{1}{2} m u^2-0=\frac{1}{2} mu ^2= E$
$E _2=\frac{1}{2} m (2 u )^2-\frac{1}{2} m u^2=\frac{3}{2} m u^2=3 E$
Standard 11
Physics