Question

A block is released from rest at the top of a friction-less inclined plane 16 m long. It reaches the bottom 4 sec later. A second block is projected up the plane from the bottom. At the instant at which the block is released in such a way that it returns to the bottom simultaneously with the first block. The acceleration of each block on the incline is :

• A. $2m/s^2$
• B. $4m/s^2$
• C. $1m/s^2$
• D. $9.8m/s^2$

Answer 1

Answer: (A)

Acceleration of both the blocks will be the same on the inclined plane

Let it be '$a$'

So, according the the equation of motion

$\frac{1}{2}\times a\times 4^2=16\Rightarrow a=2m/s^2$