Answer
(a) $3.6\frac{m}{s}$
(b) The answer does not depend on the mass.
Work Step by Step
(a) As we know that
$N-mg=-\frac{mv^2}{r}$
$\implies 0-mg=-\frac{mv^2}{r}$
This simplifies to:
$v=\sqrt{rg}$
We plug in the known values to obtain:
$v=\sqrt{(13)(9.81)}$
$v=3.6\frac{m}{s}$
(b) As $v=\sqrt{rg}$, the equation shows that the speed does not depend on the mass. Thus, the answer to part (a) does not depend on the mass of the bucket.
