Answer
$1.41 \frac{kg \cdot m}{s}$
Work Step by Step
The momentum vectors are at right angles to each other. Find the magnitude of the combined momentum using the Pythagorean Theorem.
$$(1 \frac{kg \cdot m}{s})^{2}+(1 \frac{kg \cdot m}{s})^{2} =p^{2}$$
$$p=1.41 \frac{kg \cdot m}{s} $$