Two balls of masses m each are moving at righ | vedclass

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(C) Let the two balls have mass $m$ and velocities $\vec{v}_1 = 6 \hat{i} \, m/s$ and $\vec{v}_2 = 8 \hat{j} \, m/s$.Since the collision is perfectly

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$5$

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(C) Let the two balls have mass $m$ and velocities $\vec{v}_1 = 6 \hat{i} \, m/s$ and $\vec{v}_2 = 8 \hat{j} \, m/s$.Since the collision is perfectly inelastic,the two balls stick together and move with a common velocity $\vec{V}$.According to the law of conservation of linear momentum:$\vec{P}_{initial} = \vec{P}_{final}$$m \vec{v}_1 + m \vec{v}_2 = (m + m) \vec{V}$$m(6 \hat{i} + 8 \hat{j}) = 2m \vec{V}$$\vec{V} = \frac{6 \hat{i} + 8 \hat{j}}{2} = 3 \hat{i} + 4 \hat{j} \, m/s$The magnitude of the combined velocity is:$V = |\vec{V}| = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \, m/s$.

Two balls of masses $m$ each are moving at right angles to each other with velocities $6 \, m/s$ and $8 \, m/s$ respectively. If the collision between them is perfectly inelastic,the velocity of the combined mass is ......... $m/s$.

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