NTA Abhyas JEE Main2020PhysicsWork, Power and EnergyPractice
A particle is released from a height H . At certain height its kinetic energy is two times its potential energy. Height and speed of particle at that instant are
Options
- AH 3 , 2 g H 3
- BH 3 , 2 g H 3
- C2 H 3 , 2 g H 3
- DH 3 , 2 g H
Correct answer
B. H 3 , 2 g H 3
Step-by-step solution
∴ K + U = m g H & K = 2 U ∴ 2 U + U = m g H ⇒ U = m g H 3 ⇒ m g h = m g H 3 ⇒ h = H / 3 ∴ 1 2 m v 2 = 2 U = 2 m g H 3 ⇒ v = 2 g H 3