Physics

Problem

Three small spacecraft drift freely in space with the following velocities measured from an inertial reference frame: • Craft 1: mass

2.0\,\text{kg}

, speed

3.0\,\text{m/s}

0^{\circ}

(due east) • Craft 2: mass

1.5\,\text{kg}

, speed

2.0\,\text{m/s}

120^{\circ}

• Craft 3: mass

1.0\,\text{kg}

, speed

4.0\,\text{m/s}

250^{\circ}

Determine the total linear momentum vector of the three-craft system, expressing your answer in unit-vector form

\bigl( p_x\,\hat i + p_y\,\hat j \bigr)

with units.