Two bodies of masses 1 ~kg and 2 ~kg have equal momentum. Then, the ratio of their kinetic energies is

Step-by-step solution

Let m₁ be the mass of 1 st body , m₁=1 ~kg m₂ be the mass of 2 nd body, m₂=2 ~kg The relation, between kinetic energy and momentum is given by K= 1 2 m v²= p² 2 m where, p is the momentum of the body. Since, momentum of both bodies are same. Hence, k₁ k₂ = p² 2 m₁ 2 m₂ p² k₁ k₂ = 2 1 Thus, the ratio of their kinetic energies is 2: 1 .