8) Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1150 kg and was approaching at 4.00 m/s due south. The second car has a mass of 900 kg and was approaching at 23.0 m/s due west. (a) Calculate the final velocity (magnitude in m/s and direction in degrees counterclockwise from the west) of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects.) magnitude _____m/s direction _____° counterclockwise from west (b) How much kinetic energy (in J) is lost in the collision? (This energy goes into deformation of the cars.)

College Physics
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Chapter6: Momentum, Impulse, And Collisions
Section: Chapter Questions
Problem 52P: Two automobiles of equal mass approach an intersection. One vehicle is traveling with velocity 13.0...
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8) Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1150 kg and was approaching at 4.00 m/s due south. The second car has a mass of 900 kg and was approaching at 23.0 m/s due west.
 
(a) Calculate the final velocity (magnitude in m/s and direction in degrees counterclockwise from the west) of the cars. (Note that since both cars have an initial velocity, you cannot use the equations for conservation of momentum along the x-axis and y-axis; instead, you must look for other simplifying aspects.)
 
magnitude 
_____m/s
 
direction
_____° counterclockwise from west
 
(b) How much kinetic energy (in J) is lost in the collision? (This energy goes into deformation of the cars.)
_____ J
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