Two balls of masses m1 = 0.173 kg and m2 = 0.2 kg are moving and the direction of their motion is perpendicular to each other. Their speeds are v1 = 10 m/s and v2 = 5 m/s, respectively. After the collision the ball of mass m1 stops. What will the speed of the ball (in m/s) of mass m2 be after the collision?

Engineering

Physics

Collision

Momentum and Energy Conservation for System of Particles

Summation of Vectors

Question

Two balls of masses m₁ = 0.173 kg and m₂ = 0.2 kg are moving and the direction of their motion is perpendicular to each other. Their speeds are v₁ = 10 m/s and v₂ = 5 m/s, respectively. After the collision the ball of mass m₁ stops. What will the speed of the ball (in m/s) of mass m₂ be after the collision?

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$m_{1} {\vec{v}}_{1} + m_{2} {\vec{v}}_{2} = m_{1} {\vec{u}}_{1} + m_{2} {\vec{u}}_{2}$

$0 .173 \times 10 \hat{j} + 0 .2 \times 5 \hat{i} = 0 .2 \times {\vec{u}}_{2}$

$5 \sqrt{3} \hat{i} + 5 \hat{j} \Rightarrow v = 10 m / s$