Question

A conveyor belt is moving at a constant speed of $2m/s$, a box is gently dropped on it. The coefficient of friction between them is $0.5$. The distance that the box will move relative to belt before coming to rest on it (taking $g=10m{s}^{-2}$), is:

• A. $1.2m$
• B. $0.6m$
• C. zero
• D. $0.4m$

Answer 1

The correct option is D $0.4m$

$a=\mu g=5$
$v^2=u^2+2as$
$0=2^2+2\times \left(5\right)s$
$s=-\frac{2}{5}$ with respect to belt
or distance $=0.4m$.