A railroad car of mass 2.7 104 kg moving at 3.50 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s.

(a) What is the speed of the three coupled cars after the collision?
m/s

(b) How much kinetic energy is lost in the collision?
J

2 answers

a. conservation of momentum
intial=final
M*3.5+2M*1.2=3M V
solve for V

b. intial KE=1/2 M 3.5^2+ M 1.2^2
final KE=3/2 M V^2
lost is the difference
3 meters per second