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AP EAMCET201825 Apr 2018Morning ShiftPhysicsMotion in One DimensionActual

A particle is released from a height H . At a certain height its kinetic energy is half of its potential energy with reference to the surface of the earth. Height and speed of the particle at that instant are respectively

Options

  1. AH 3 ,   2 g H 3
  2. BH 3 , 2 g H 3
  3. C2 H 3 , 2 g H
  4. D2 H 3 , 2 g H 3

Correct answer

D. 2 H 3 , 2 g H 3

Step-by-step solution

Given, P . E . = 2 K . E . now conservation of kinetic energy and potential energy, P . E . + K . E . = m g H ⇒ P . E . + 1 2 P . E . = m g H ⇒ 3 2 P . E . = m g H ⇒ P . E . = 2 m g H 3 = m g h ⇒ h = 2 H 3 here the kinetic energy, 2 K . E . + K . E . = m g H = 3 K . E . = 3 1 2 m v 2 v = 2 g H 3

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