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प्रश्न
A body of mass (m) has a velocity (v). If the mass of the body increases 81 times, but the kinetic energy remains same, calculate the new velocity.
संख्यात्मक
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उत्तर
Kinetic energy remains constant, so
\[ \frac{1}{2}\, mv^{2} = \frac{1}{2}\, (81m)\, v_{1}^{2} \]
where v1 is the new velocity.
\[ v^{2} = 81\, v_{1}^{2} \]
\[ v_{1} = \frac{v}{9} \]
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