# Question #59993

Jul 23, 2017

I would think it would be (A): $1$ ${\text{m/s}}^{2}$.

#### Explanation:

In the image, it appears as if object B is inside of object A, so whatever acceleration object A has should be the exact same as that for object B...

Picture it like this:

If you are running at a constant speed of $4$ $\text{m/s}$, then everything a part of you will also be traveling at $4$ $\text{m/s}$...because where else could your heart, lungs, or brain go except with you?

Jul 23, 2017

See below.

#### Explanation:

Assuming that block B slides inside the cavity frictionless, block B acceleration is composed both of block A horizontal acceleration and this same acceleration downwards. So the resulting acceleration is $\left\lVert 1 i - 1 j \right\rVert = \sqrt{2}$ [m/${\text{s}}^{2}$]