JEE Main Physics question
A body of mass m₁ moving with a uniform velocity of 40 m/s collides with another mass m₂ at rest, and then the two together begin to move with a uniform velocity of 30 m/s. The ratio of their masses (m₁/m₂) is
Answer: (C)
Solution
By momentum conservation: m₁(40) = (m₁+m₂)(30) ⟹ 40m₁ = 30m₁ + 30m₂ ⟹ 10m₁ = 30m₂ ⟹ m₁/m₂ = 3.