Energy and Momentum Conservation in Inelastic Car Collisions

In summary, two cars of mass m collide and stick together. One car was traveling north at a speed of 2v while the other was traveling at a speed of v at an angle phi south of east. After the collision, the combined system travels at a speed of v_final at an angle theta east of north, following the conservation of momentum. It is important to note that velocity is a vector quantity and can be represented using vectors or broken down into its x and y components. Use conservation of momentum to solve for v_final and theta, as the collision is inelastic. Showing your work will help identify any mistakes in your calculations.
  • #1
kenau_reveas
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Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle phi south of east (as indicated in the figure). After the collision, the two-car system travels at speed v_final at an angle theta east of north.
 

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  • #2
Conservation of momentum, remember velocity is a vector quantity.

Show your work so we can determine where you need help.
 
  • #3
can anyone help me with the above problem? I've been trying to work it out but i can't find the answer to vfinal... or theta
 
  • #4
Like civil_dude said, show your work so we know where you went wrong.

Either use the velocities as vectors or break the conservation of momentum into its x and y components.
 
  • #5
i got the other homework problems but i don't think I'm even close for this one. the answer that i have so far for vfinal i have sqrt( (v*cos(phi))^2 + (2v - vsin(phi)^2)

but that doesn't work or feel right either. and i can't even begin to find theta
 
  • #6
Are you using energy conservation? The collision is inelastic. Use conservation of momentum.
 

FAQ: Energy and Momentum Conservation in Inelastic Car Collisions

How does the angle of collision affect the severity of a car accident?

The angle of collision can greatly impact the severity of a car accident, as it determines the direction and force of impact. Collisions at a perpendicular angle, where both cars are moving in opposite directions, tend to be more severe as the force of impact is concentrated on a smaller area. On the other hand, glancing collisions at an angle may result in less severe damage as the force is distributed over a larger area.

What are the most common types of car collisions at an angle?

The most common types of car collisions at an angle are T-bone collisions and sideswipe collisions. T-bone collisions occur when one car strikes the side of another car perpendicularly, while sideswipe collisions occur when two cars traveling in the same direction collide at an angle.

How can the angle of collision be determined in a car accident?

The angle of collision can be determined by analyzing the damage and impact patterns on the vehicles involved in the accident. Skid marks, debris, and the final resting positions of the vehicles can also provide clues about the angle of impact. Witness statements and video footage can also help in determining the angle of collision.

What factors can influence the angle of collision in a car accident?

The angle of collision can be influenced by various factors, including the speed and direction of travel of the vehicles involved, road conditions, weather conditions, and driver behavior (such as distracted driving or driving under the influence). The type and size of the vehicles can also play a role in the angle of collision.

How can the severity of a car collision at an angle be reduced?

To reduce the severity of a car collision at an angle, drivers should follow safe driving practices such as maintaining a safe speed and distance, staying alert and focused, and obeying traffic laws. Installing safety features such as airbags and seatbelts can also help mitigate the impact of a collision. Proper road maintenance and design can also play a role in reducing the severity of car accidents at angles.

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