The momentum of a particle having mass m is p . Its kinetic energy will be - Mathematics and Science MCQ UPTET Paper 2 (Maths & Science) 2026 | ExamTest.live

easyMCQUPTET Paper 2 (Maths & Science)2026Mathematics and Science

1 mark

The momentum of a particle having mass m is p . Its kinetic energy will be

Solution & Step-by-step Explanation

Kinetic energy (K) is defined as: K = \frac{1}{2} m v^{2} Momentum (p) is defined as: p = m v ⟹ v = \frac{p}{m} Substitute v back into the kinetic energy equation: K = \frac{1}{2} m (\frac{p}{m})^{2} = \frac{1}{2} m (\frac{p ^{2}}{m ^{2}}) = \frac{p ^{2}}{2 m}

Try it yourself before checking the explanation above.

The momentum of a particle having mass m is p . Its kinetic energy will be

m p

p^{2 m}

\frac{p^2}{m}

\frac{p^2}{2m}

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