Professional Application Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1200 kg and is approaching at 8.00 m/s due south. The second car has a mass of 850 kg and is approaching at 17.0 m/s due west. (a) Calculate the final velocity (magnitude and direction) of the cars. (b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.) Note that because both cars have an initial velocity, you cannot use the equations for conservation of momentu?m along the ?x -axis and ?y -axis; instead, you must look for other simplifying aspects.
Step-by-step solution In this problem two cars collide at an icy intersection and stick together so,Calculate the final velocity (magnitude and direction) of the cars and calculate the loss in kinetic energy after the collision. Step 1 of 5 The conservation of the linear momentum can be used because there is external force is acting on the system. Step 2 of 5 The conservation of momentum for the car 1 (approaching due south) and car 2 (approaching due west) gives, Here, is the mass of car 1, is the mass of car 2, is the initial speed of car 1 and is the initial speed of car 2 and is the final speed of the both cars. Step 3 of 5 The momentum of cars can be shown as,