Question

A block of metal, of $25\text{ g}$ mass moves down without acceleration when the plane is inclined at an angle of $30^\circ$. When the inclination is increased by $30^\circ$, find the downward acceleration of the block.

• A. $1.9\text{ m s}^{-2}$
• B. $2.6\text{ m s}^{-2}$
• C. $5.66\text{ m s}^{-2}$
• D. $3.8\text{ m s}^{-2}$

Hint:

For any incline problem where a block slides at constant velocity at $30^\circ$ and the angle is then increased to $60^\circ$, the net acceleration expression always simplifies beautifully to $a = \frac{g}{\sqrt{3}}$. Memorizing this specific geometry shortcut saves immense algebraic effort during an exam!

Answer 1

The Correct Option is C