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?

Answer Section

• 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

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.