A stone is projected vertically upward to reach maximum height h. The ratio of its kinetic energy to its potential energy at a height 4 5 h, ⁡ will be

Step-by-step solution

At a height 4 5 h, ⁡ Potential energy = mg × 4 h ⁡ 5 = 4 5 mgh Total energy = mgh ∴ K E at that height = mgh - 4 5 mgh ⁡ = 1 5 mgh ⁡ ∴ At a height 4 5 h ⁡ , ⁡ the ratio of KE PE = 1 5 mgh 4 5 mgh = 1 4