Answer
The gravitational force of attraction between the man and the woman is $2.3\times 10^{-7}~N$
Work Step by Step
We can find the gravitational force of attraction $F$ between the man and the woman.
$F = \frac{G~M_1~M_2}{R^2}$
$F = \frac{(6.67\times 10^{-11}~m^3/kg~s^2)(70~kg)(50~kg)}{(1.0~m)^2}$
$F = 2.3\times 10^{-7}~N$
Therefore, the gravitational force of attraction between the man and the woman is $2.3\times 10^{-7}~N$.