What Happens When Two Cars Collide and Stick Together?

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In summary, the conversation is discussing a problem involving a collision between two cars, where one is traveling north and the other is traveling east. The cars stick together and skid to a stop, and the discussion covers questions about the velocity of the cars after the collision, the amount of kinetic energy lost, and the average force between the cars. The attempted solution involves calculating a velocity of 7.7 m/s at 51.8 degrees for the cars after the collision, but this does not match the result when plugged into the kinetic energy equation. The solution also mentions the non-elastic nature of the collision.
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ConstableZiM
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Homework Statement


An 1800kg car traveling north at 35 km/hr collides with an 1100kg car traveling east at 45km/hr. The cars stick together and skid to a stop (a) what is the velocity (speed and direction) of the two cars immediately after the collision? (b) How much kinetic energy is lost during the collision? (c) if the collision occurs during a time of 600 ms, what is the average force between the cars?

Homework Equations


Practice exam problem, none given

The Attempt at a Solution


I get an answer of 7.7 m/s at 51.8 degrees for a, but when I plug that into the kinetic energy equation of K = 1/2(m)(v^2) (initial) - 1/2(m)(v^2)(final), I get a number of 84648 J, even though its supposedly elastic? As for C, I get a force of 14800 N.

Am I doing this correctly? Help would be appreciated
 
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  • #2
Nobody? ;,[
 
  • #3
isn't not elastic. Whenever objects stick together, it's usually not elastic.

what you need to do it calculate the ideal energy (had it been elastic), and then calculatue the actual energy of the system, and subtract the two to figure out how much energy was actually lost
 

Related to What Happens When Two Cars Collide and Stick Together?

1. How does the mass of two objects affect the impact?

The mass of two objects directly affects the impact. The greater the mass of the objects, the greater the force of impact will be. This is due to Newton's Second Law of Motion, which states that force is equal to mass multiplied by acceleration.

2. Does the speed of the objects impact the overall impact?

Yes, the speed of the objects also plays a key role in the impact. The faster the objects are moving, the greater the force of impact will be. This is because the kinetic energy, which is directly proportional to the speed of the objects, is converted into force upon impact.

3. How does the angle of impact affect the force?

The angle of impact can greatly affect the force of impact. When two objects collide at a perpendicular angle, the force is maximized. However, if the objects collide at an oblique angle, the force is decreased as some of the energy is redirected into rotational motion.

4. Can the shape of the objects impact the overall force?

Yes, the shape of the objects can impact the force of impact. If the objects have irregular shapes, the force of impact will be spread out over a larger area, resulting in a lower overall force. On the other hand, if the objects have a smooth and compact shape, the force of impact will be concentrated in a smaller area, resulting in a higher overall force.

5. How does the type of surface the objects collide on affect the impact?

The type of surface the objects collide on can have a significant impact on the overall force. A softer surface, such as sand or foam, will absorb more of the force and result in a lower impact force. A harder surface, such as concrete or metal, will reflect more of the force and result in a higher impact force.

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