Posted by **Sara** on Wednesday, March 23, 2011 at 11:05am.

Two cars crash into each other at an intersection on a very icy road. One 3,000 lb car is traveling 45 mph NW. The other, weighing 2,000 lb, is traveling 30 mph E. After the collision, their bumpers lock together. What is the velocity of the wreck as it slides off the road ?

- Physics -
**drwls**, Wednesday, March 23, 2011 at 11:21am
Add the momentum vectors and divide by the combined mass.

North component of momentum:

= 3000 * 45 cos 45

= 9.55*10^4 mph*lb

East component of momentum:

= -3000*45sin45 + 2000*30

= -9.546*10^4 + 6.00*10^4

= -3.546*10^4 mph*lb

The momentum magnitude is

sqrt[(9.546)^2 +(-3.546)^2]*10^4

= 1.018*10^5 mph*lb

Final velocity is that divided by 5000 lb, or 20.4 mph

If you need the direction, use the ratio of momentum components as the tangent of the angle.

It is about 20 degrees west of north.

## Answer This Question

## Related Questions

- Physics - Two cars crash into each other at an intersection on a very icy road. ...
- physics - A 1,600 kg car traveling north at 10.0 m/s crashes into a 1,400 kg car...
- Help!...Math... - Two cars leave town going opposite directions. One car is ...
- Calc 1 - Related Rates: Two cars approach the intersection of two highways. The ...
- physics - Consider 2 automobile accidents in which identical cars are driven ...
- physics - Consider 2 automobile accidents in which identical cars are driven ...
- Physics - Am I correct? Two carts have a compressed spring between them and are ...
- Physics - Momentum of cars at intersection - Two cars of identical mass are ...
- physics - Two cars approach an ice-covered intersection. One car, of mass 1.22 ...
- Physics - Two cars lost in a blinding rainstorm are traveling across a large ...

More Related Questions