A small block of mass M moves on a frictionless surface of an inclined plane, as shown in the figure. The…

A small block of mass $\text{M}$ moves on a frictionless surface of an inclined plane, as shown in the figure. The angle of the incline suddenly changes from $60°$ to $30°$ at point $\mathrm{B}$. The block is initially at rest at $\mathrm{A}$. Assume that collisions between the block and the incline are totally inelastic ($g=10 \mathrm{m} {\mathrm{s}}^{-2}$). Figure:

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The speed of the block at point $\mathrm{C}$, immediately before it leaves the second incline is -

1. $\sqrt{120}{\text{ m s}}^{-1}$
2. $\sqrt{105}{\text{ m s}}^{-1}$
3. $\sqrt{90}{\text{ m s}}^{-1}$
4. $\sqrt{75}{\text{ m s}}^{-1}$

Solution

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