QJEEM19Ph0ef9: JEE Main 2019 Physics - Class 11 JEEM19Ph0ef9 Solution: A body of mass m 1 moving with an unknown velocity of v 1 i ∧ , …

Question

Verified Solution • 2025–26 Session moderate

A body of mass m₁ moving with an unknown velocity of

v_{1} \overset{\land}{i}

, undergoes a collinear collision with a body of mass m₂ moving with a velocity

v_{2} \overset{\land}{i}

. After collision, m₁ and m₂ move with velocities of

v_{3} \overset{\land}{i}

and

v_{4} \overset{\land}{i}

, respectively. If m₂ = 0.5 m₁ and v₃ = 0.5 v₁, then v₁ is :-

Accepted Answer

Applying linear momentum conservation

m_{1} v_{1} \hat{i} + m_{2} v_{2} \hat{i} = m_{1} v_{3} \hat{i} + m_{2} v_{4} \hat{i}

m₁v₁ + 0.5 m₁v₂ = m₁(0.5 v₁) + 0.5 m₁v₄

0.5 m₁v₁ = 0.5 m₁(v₄ - v₂)

v₁ = v₄ - v₂

Step-by-Step Verified Solution