Answer
(a) $0.023~N$
(b) $6.6~days$
Work Step by Step
(a) $1~day=(1~day)(\frac{24~h}{1~day})(\frac{60~s}{1~h})=1.44\times10^3~min$
$\frac{1.6~mg}{min}=(\frac{1.6~mg}{min})(\frac{1~kg}{10^6~mg})(\frac{1.44\times10^3~min}{1~day})=\frac{2.304\times10^{-3}~kg}{day}$
$W=mg=(2.304\times10^{-3}~kg)(9.81~m/s^2)=0.023~N$
(b) $W=mg$
$0.15~N=m(9.81~m/s^2)$
$m=\frac{0.15~N}{9.81~m/s^2}=1.529\times10^{-2}~kg$
$1.529\times10^{-2}~kg=(1.529\times10^{-2}~kg)(\frac{1~day}{2.304\times10^{-3}~kg})=6.6~days$