Question

Assuming all the surfaces to be frictionless, the acceleration of block $C$ shown in the figure is

• A. $5{\text{ms}}^{-2}$
• B. $7{\text{ms}}^{-2}$
• C. $3.5{\text{ms}}^{-2}$
• D. $4{\text{ms}}^{-2}$

Answer 1

The correct option is C $3.5{\text{ms}}^{-2}$

Given, acceleration of block $A$, $\left(a_A\right)=3{\text{ms}}^{-2}$,
Acceleration of block $B$, $\left(a_B\right)=4{\text{ms}}^{-2}$
Now, acceleration of block $C$,
$a=\frac{a_A+a_B}{2}=\frac{3+4}{2}=\frac{7}{2}=3.5{\text{ms}}^{-2}$
Hence, the correct answer is (C).