# Perfectly Inelastic Collision of Raindrops#

Two raindrops in a cloud collide perfectly inelastically. The first raindrop has a mass of 0.45 g and is travelling with $$\vec{v_1} =$$ (7.8 $$\hat{\imath}$$ + 10.4 $$\hat{\jmath}$$) m/s. The second raindrop has a mass of 1.0 g and is travelling with $$\vec{v_2} =$$ (8.72 $$\hat{\imath}$$ + 7.55 $$\hat{\jmath}$$) m/s.

## Part 1#

What is the resulting velocity of the combined raindrop?

• 27.0$$\hat{\imath}$$ + 27.0$$\hat{\jmath}$$ m/s

• 8.4$$\hat{\imath}$$ + 8.4$$\hat{\jmath}$$ m/s

• 12.0$$\hat{\imath}$$ + 12.0$$\hat{\jmath}$$ m/s

• 8.9$$\hat{\imath}$$ + 8.9$$\hat{\jmath}$$ m/s

• -15.0$$\hat{\imath}$$ - 8.3$$\hat{\jmath}$$ m/s

• -3.6$$\hat{\imath}$$ - 2.0$$\hat{\jmath}$$ m/s