A ball of mass 2 ~kg and another of mass 4 ~kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of:

Step-by-step solution

Let E₁ and E₂ be the K.E. of two bodies. Then E₁= 1 2 m₁ v₁^2 and E₂= 1 2 m₂ v₂ ^2 E₁ E₂ = 1 2 m₁ v₁^2 1 2 m₂ v^2 = m₁ v₁^2 m₂ v₂^2 The initial velocity of both the bodies are zero. aligned & v^2=2 g h is same for both & bodies & E₁ E₂ = m₁ m₂ = 2 4 = 1 2 aligned