Question 335: Centre of Mass and Rotational Motion

Question

A mass '$$\mathrm{M}$$' moving with velocity '$$\mathrm{V}$$' along $$\mathrm{X}$$-axis collides and sticks to another mass $$2 \mathrm{M}$$ which is moving along $$\mathrm{Y}$$-axis with velocity '$$3 \mathrm{~V}$$'. The velocity of the combination after collision is

Accepted Answer

From law of conservation of linear momentum,
$$\begin{aligned}
& M v \hat{i}+2 M(3 v \hat{j})=3 M \vec{v} \
& v \hat{i}+6 v \hat{j}=3 \vec{v} \
& \vec{v}=\frac{v}{3} \hat{i}+2 v \hat{j}
\end{aligned}$$

Answer

$$\frac{V}{3} \hat{i}+2 V \hat{j}$$

Answer

$$\frac{V}{2} \hat{i}+V \hat{j}$$

Answer

$$\frac{V}{3} \hat{i}-2 V \hat{j}$$

Answer

$$\frac{V}{2} \hat{i}-V \hat{j}$$

Centre of Mass and Rotational Motion

A mass '$\mathrm{M}' moving with velocity '\mathrm{V}' along \mathrm{X}-axis collides and sticks to another mass 2 \mathrm{M} which is moving along \mathrm{Y}-axis with velocity '3 \mathrm{~V}$'. The velocity of the combination after collision is

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