College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Introduction to Collisions
Learning Goal:
To understand how to find the velocities of particles after
collision.
There are two main types of collisions that you will study: elastic and perfectly inelastic. In an elastic
collision, kinetic energy is conserved. In a perfectly inelastic collision, the particles stick together and thus
retain the same velocity after the collision. There is actually a range of collision types, with elastic and
Let two particles of equal mass m collide. Particle 1 has initial velocity v, directed to the right, and particle 2 is initially stationary.
perfectly inelastic at the extreme ends. These extreme cases are easier to solve than the in-between
cases
Part A
In this problem, we will look at one of these in-between cases after first working through some basic
calculations related to elastic and perfectly inelastic collisions.
If the collision is elastic, what are
final velocities vy and vz of particles 1 and 2?
Give the velocity vz of particle 1 followed by the velocity v2 of particle 2, separated by a comma. Express each velocity in terms of v.
• View Available Hint(s)
?
V1, V2 =
Submit
Part B
Now suppose that the collision is perfectly inelastic. What are the velocities vi and vz of the two particles after the collision?
Give the velocity v, of particle 1 followed by the velocity v2 of particle 2, separated by a comma. Express the velocities in terms of v.
> View Available Hint(s)
Hνα ΑΣφ
?
V1, V2 =
Submit
Part C
Now assume that the mass of particle 1 is 2m, while the mass of particle 2 remains m. If the collision is elastic, what are the final velocities vz and v2 of particles 1 and 2?
Give the velocity v, of particle 1 followed by the velocity v2 of particle 2, separated by a comma. Express the velocities in terms of v.
• View Available Hint(s)
ΑΣφ
?
V1, V2 =
Submit

Transcribed Image Text:Learning Goal:
To understand how to find the velocities of particles after a collision.
Πνα ΑΣφ
?
There are two main types of collisions that you will study: elastic and perfectly inelastic. In an elastic
collision, kinetic energy is conserved. In a perfectly inelastic collision, the particles stick together and thus
V1, V2 =
retain the same velocity after the collision. There is actually a range of collision types, with elastic and
perfectly inelastic at the extreme ends. These extreme cases are easier to solve than the in-between
cases.
Submit
In this problem, we will look at one of these in-between cases after first working through some basic
calculations related to elastic and perfectly inelastic collisions.
Part B
Now suppose that the collision is perfectly inelastic. What are the velocities vi and v2 of the two particles after the collision?
Give the velocity vi of particle 1 followed by the velocity v2 of particle 2, separated by a comma. Express the velocities in terms of v.
• View Available Hint(s)
nν ΑΣφ
V1, V2 =
Submit
Part C
Now assume that the mass of particle 1 is 2m, while the mass of particle 2 remains m. If the collision is elastic, what are the final velocities v, and vz of particles 1 and 2?
Give the velocity vz of particle 1 followed by the velocity vz of particle 2, separated by a comma. Express the velocities in terms of v.
> View Available Hint(s)
Πνα ΑΣφ
?
V1, V2 =
Submit
Part D
Let the mass of particle 1 be m and the mass of particle 2 be 3m. If the collision is perfectly inelastic, what are the velocities of the two particles after the collision?
Give the velocity v, of particle 1 followed by the velocity v, of particle 2, separated by a comma. Express the velocities in terms of v.
• View Available Hint(s)
να ΑΣφ
?
V1, V2 =
Submit
圓
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