Two cars collide at an icy intersection and stick together afterward. The first car has a mass of1500kg and was approaching at5.00m/s due south. The second car has a mass of800kg and was approaching at24.0m/s due west.

(a) Calculate the final velocity of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along thex-axis andy-axis; instead, you must look for other simplifying aspects..)

Magnitude m/s

Direction (counterclockwise from west is positive) (b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.) J

Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of170,000kg and a velocity of0.300m/s, and the second having a mass of95,000kg and a velocity of -0.120 m/s. (The minus indicates direction of motion.) What is their final velocity? m/s