A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The he - Physics MCQ NEET 2021 2026 | ExamTest.live

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A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:

Solution & Step-by-step Explanation

Total mechanical energy at height S = m g S .Let at height h, K E = 3 PE .Total energy at height h = K E + PE = 3 PE + PE = 4 PE .By conservation of energy: m g S = 4 (m g h) h = \frac{S}{4} Now, K E = 3 PE \Rightarrow \frac{1}{2} m v^{2} = 3 m g h . \frac{1}{2} v^{2} = 3 g (\frac{S}{4}) v^{2} = \frac{3 g S}{2} \Rightarrow v = \frac{3 g S}{2}

Try it yourself before checking the explanation above.

A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:

\frac{S}{4}, \frac{3 g S}{2}

\frac{S}{4}, \frac{3 g S}{2}

\frac{S}{4}, 3 2 g S

\frac{3 S}{4}, \frac{3 g S}{2}

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