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Related Concept Videos

Elastic Collisions: Case Study01:15

Elastic Collisions: Case Study

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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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Elastic Collisions: Introduction01:00

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Collisions in Multiple Dimensions: Introduction01:05

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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Prediction Intervals01:03

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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Types of Collisions - II01:19

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When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the object after the collision is the sum of the masses of the original objects, and it moves with a velocity dictated by the conservation of momentum. Although the system's total momentum remains constant, the kinetic energy decreases, and thus such a collision is an inelastic collision. Most of the collisions between objects in daily life are...
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Collisions in Multiple Dimensions: Problem Solving01:06

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Watershed Planning within a Quantitative Scenario Analysis Framework
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A simple framework for a complex problem? Predicting wildlife-vehicle collisions.

Casey Visintin1, Rodney van der Ree2, Michael A McCarthy1

  • 1Quantitative and Applied Ecology Group School of BioSciences University of Melbourne Parkville Vic. 3010 Australia.

Ecology and Evolution
|September 21, 2016
PubMed
Summary

Predicting wildlife-vehicle collisions is now easier with a new spatial modeling method. This approach combines vehicle traffic data and animal habitat suitability to identify high-risk areas, improving road safety for both animals and humans.

Keywords:
Animalco‐occurrencekangarooriskroad ecologyroadkillspatialspecies distribution modelspeed limittraffic volume

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Area of Science:

  • Ecological modeling
  • Road ecology
  • Conservation science

Background:

  • Wildlife-vehicle collisions pose significant risks to animals and human safety.
  • Traditional methods for identifying collision hotspots are often costly and logistically challenging.
  • Existing computer models for predicting collisions can be difficult for wildlife managers to interpret and apply.

Purpose of the Study:

  • To introduce a novel spatial modeling framework for predicting wildlife-vehicle collision risk.
  • To disentangle natural (animal presence) and anthropogenic (vehicle movement) factors influencing collision likelihood.
  • To provide a practical tool for wildlife managers to reduce collision risks using existing data.

Main Methods:

  • Modeled vehicle hazard by predicting traffic volume and speed using human demographic variables.
  • Modeled animal exposure by predicting suitable habitat for Eastern Grey Kangaroos using survey and environmental data.
  • Integrated hazard and exposure models to predict collision risk across geographic space.

Main Results:

  • The species occurrence (exposure) model showed good predictive performance, reducing null deviance by 30.4%.
  • Vehicle (hazard) models explained substantial variance in traffic volume (54.7%) and speed (58.7%).
  • The integrated collision risk model explained 23.7% of the deviance in reported collisions and demonstrated good discrimination ability on independent data.

Conclusions:

  • Collision risks can be effectively modeled across geographic space using a novel analytical framework with existing data sources.
  • This approach reduces the need for expensive and time-consuming field data collection.
  • The framework's novelty lies in its ability to separately model and integrate hazard and exposure components, offering tunable submodels for practical application.