A car accelerates from rest to m/s. The energy spent in this process is E J. The energy required to accelerate the car from m/s to m/s is J. The value of is ______. [2023]

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Solution

Q.
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 $2 u$ m/s is $n E$ J. The value of $n$ is ______. [2023]

Ans.
(3)

$E_{1} = \frac{1}{2} m u^{2} - 0 = \frac{1}{2} m u^{2} = E$

$E_{2} = \frac{1}{2} m {(2 u)}^{2} - \frac{1}{2} m u^{2} = \frac{3}{2} m u^{2} = 3 E$

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