A button battery is rated $3 \,V$ and $225 \,mAh . A$ cricket ball (mass $=0.163 \,kg$ ) having energy equal to that stored in the battety will have speed closest to ............ $\,m / s$
KVPY 2021, Medium
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(D)
Energy $= P \times t$
$= vit$
$=(3 \,v )(225 \,mAh )$
$=775 \times 10^{-3} \times 3600 \,VA sec$
$=2430 \,J$
For cricket ball :
$\frac{1}{2} mv ^2=2430$
$\Rightarrow \frac{1}{2}(0.163 kg ) v ^2=2430$
$\Rightarrow v =172.7 \,m / s$
This is closest to the option $170 \,m / s$
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