Question

​A football player weighing 110 kg and traveling at +6 m/s runs head on into another player who weighs 150 kg and is traveling at -4 m/s. In which direction will they travel after they collide (stuck together) and what would their combined velocity be?

Answer 1

This is an inelastic collision. The equation for an inelastic collision is: $m_{1}v_{1}_{i} + m_{2}v_{2}_{i} = (m_{1} + m_{2})v_{f}$

(110)(6) + (150)(-4) = (110 + 150)(vf)

660 - 600 = 260vf

60 = 260vf

vf = 0.2308 m/s

They will travel in the positive direction, right, and their combined velocity will be 0.2308 m/s.

Hope this helps!! :)