60 Questions
An elastic collision is one in which the total kinetic energy of the system is the same before and after the collision.
True
Inelastic collisions occur between atomic and subatomic particles.
False
Inelastic collisions can be perfectly silent.
False
A perfectly inelastic collision is one in which the colliding objects stick together after the collision.
True
In an elastic collision, both the momentum and kinetic energy of the system are conserved.
True
In a typical problem involving elastic collisions, there are two unknown quantities that can be solved simultaneously.
True
True or false: Collisions involve physical contact between two macroscopic objects.
True
True or false: The term collision is only applicable to macroscopic objects.
False
True or false: The impulsive forces during a collision can vary in time in complicated ways.
True
True or false: The impulsive forces during a collision are external to the system of two particles.
False
True or false: In any collision, the momentum of the system of two particles must be conserved.
True
True or false: Inelastic collisions conserve the total kinetic energy of the system of particles.
False
True or false: Equation 9.20 can be used in any collision situation involving two objects.
False
True or false: Equations 9.21 and 9.22 can be used to solve for the final velocities in terms of the initial velocities in an elastic collision.
True
True or false: If two particles have equal masses, their final velocities will be equal after an elastic collision.
True
True or false: If a very heavy particle collides with a very light particle that is initially at rest, the heavy particle will continue its motion unaltered after the collision.
True
True or false: If particle 2 is initially at rest, then in Equations 9.21 and 9.22, v2i will be equal to 0.
True
True or false: In a one-dimensional, elastic collision, the concept of conservation of momentum applies.
True
True or false: In a one-dimensional, elastic collision, the concept of conservation of kinetic energy applies.
True
True or false: In a one-dimensional, elastic collision, the total momentum before the collision is equal to the total momentum after the collision.
True
What is the term used to describe an event during which two particles come close to each other and interact by means of forces?
collision
What type of collision is one in which the total kinetic energy of the system is conserved?
elastic collision
What type of collision is one in which the total kinetic energy of the system is not conserved?
inelastic collision
What is the term used to describe a collision in which the colliding objects stick together after the collision?
perfectly inelastic collision
What is the principle that states that the momentum of the system of two particles must be conserved in any collision?
conservation of momentum
What is the principle that states that the total kinetic energy of the system of particles may or may not be conserved, depending on the type of collision?
conservation of kinetic energy
How is Equation 9.18 obtained from Equation 9.17?
By canceling the factor 1/2 and rearranging terms.
What is the equation obtained by separating the terms containing m1 and m2 in Equation 9.16?
m1(v1i^2 - v1f) = m2(v2f^2 - v2i)
What is the equation obtained by dividing Equation 9.18 by Equation 9.19?
v1i + v1f = v2f + v2i
What is Equation 9.20 used for?
Solving problems dealing with elastic collisions.
Why is the pair of Equations 9.16 and 9.20 easier to handle than the pair of Equations 9.16 and 9.17?
Because there are no quadratic terms in Equation 9.17.
What does Equation 9.20 state about the relative velocities of the two particles before and after the collision?
The relative velocity before the collision equals the negative of the relative velocity after the collision.
What are the equations for the final velocities in terms of the initial velocities, mass 1, and mass 2?
v1f = (m1v1i + 2m2v2i)/(m1 + m2) and v2f = (2m1v1i + m2v2i)/(m1 + m2)
What happens when particle 2 is initially at rest in an elastic collision?
v2i = 0 and the equations for final velocities become v1f = (m1 - m2)/(m1 + m2)v1i and v2f = (2m1)/(m1 + m2)*v1i
What is an elastic collision?
An elastic collision is one in which the total kinetic energy (as well as total momentum) of the system is the same before and after the collision.
What is a perfectly inelastic collision?
A perfectly inelastic collision is one in which the colliding objects stick together after the collision.
What is the equation for the final velocity in a perfectly inelastic collision?
The final velocity in a perfectly inelastic collision can be calculated using the equation vf = (m1v1i + m2v2i) / (m1 + m2).
What is an elastic collision?
An elastic collision is one in which both the momentum and kinetic energy of the system are conserved.
What is the equation for the final velocities in an elastic collision?
In an elastic collision, the final velocities can be calculated using the equations m1v1i + m2v2i = m1v1f + m2v2f and (1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2.
What are the types of inelastic collisions?
There are two types of inelastic collisions: perfectly inelastic collisions, where the colliding objects stick together, and inelastic collisions where some kinetic energy is transformed or transferred away.
Which one of the following statements is true about elastic collisions?
The total kinetic energy and momentum of the system are conserved
What type of collision is one in which the total kinetic energy of the system is not conserved?
Inelastic collision
What is the principle that states that the momentum of the system of two particles must be conserved in any collision?
Conservation of momentum
What is an elastic collision?
A collision in which the total kinetic energy and momentum of the system are conserved
What is the term used to describe a collision in which the colliding objects stick together after the collision?
Perfectly inelastic collision
What is a perfectly inelastic collision?
A collision in which the colliding objects stick together after the collision
Which type of collision is one in which the total kinetic energy of the system is conserved?
Elastic collision
What is the principle that states that the momentum of the system of two particles must be conserved in any collision?
Conservation of momentum
True or false: In a one-dimensional, elastic collision, the concept of conservation of kinetic energy applies.
True
What is an inelastic collision?
A collision in which the total kinetic energy of the system is not conserved
What are the equations for the final velocities in terms of the initial velocities, mass 1, and mass 2?
$v_{1f} = rac{m_1 - m_2}{m_1 + m_2}v_{1i} + rac{2m_2}{m_1 + m_2}v_{2i}$ and $v_{2f} = rac{2m_1}{m_1 + m_2}v_{1i} + rac{m_2 - m_1}{m_1 + m_2}v_{2i}$
True or false: The impulsive forces during a collision are external to the system of two particles.
False
Which equations can be used to solve problems dealing with elastic collisions?
Equations 9.21 and 9.22
In Equation 9.20, what does v1i and v2i represent?
The relative velocities of particle 1 and particle 2 before the collision
If m1 = m2, what can be concluded about the final velocities of the particles in an elastic collision?
The final velocities will be equal
What happens when particle 2 is initially at rest in an elastic collision?
Particle 1 continues its motion unaltered
What is the equation for the final velocity of particle 1 in a perfectly inelastic collision?
$v_{1f} = rac{m_1}{m_1 + m_2}v_{1i} + rac{m_2}{m_1 + m_2}v_{2i}$
What is the principle that states that the momentum of the system of two particles must be conserved in any collision?
Conservation of momentum
What is an inelastic collision?
A collision in which the total kinetic energy of the system is not conserved
What is the term used to describe a collision in which the colliding objects stick together after the collision?
Perfectly inelastic collision
Test your knowledge on collisions in one dimension with this quiz. Learn about the isolated system (momentum) model and how it describes the interaction between two particles during a collision. Explore the impulse approximation and its application in analyzing these interactions.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
