Question

Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1300 kg and was approaching at 5.00 m/s due south. The second car has a mass of 750 kg and was approaching at 20.0 m/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 the *x*-axis and *y*-axis; instead, you must look for other simplifying aspects..)

Magnitude

....................m/s

Direction

.....................Â° (counterclockwise from west is positive)

(b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.)

.........................J

Step 1

- Determine the final velocity of the cars after collision and their direction.
- Determine the loss in kinetic energy that occurred during collision.

Step 2

According to the information given in the question,

Step 3

Let car 1 of mass *m1,* and car 2 of mass *m2*, be moving with velocity *v1* and *v2*, respectively.

Let *vf* be the final velocity of both the cars after colli...

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