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प्रश्न
What happens to the kinetic energy when mass of body is doubled at constant velocity?
व्युत्पत्ती
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उत्तर
The kinetic energy is doubled (becomes 2 times).
Mathematical Derivation:
Original Kinetic Energy:
\[ K = \frac{1}{2}mv^{2} \]
Substituting new mass \(m' = 2m\) and keeping velocity \(v' = v\):
\[ K' = \frac{1}{2}(2m)v^{2} \]
\[ = 2 \times \left(\frac{1}{2}mv^{2}\right) \]
= 2 K
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