89 Questions
True or false: The archer slides backward on the ice after firing the arrow.
True
True or false: Linear momentum is defined as the product of mass and velocity.
True
True or false: Linear momentum is a scalar quantity.
False
True or false: Momentum is a vector quantity.
True
True or false: Kinetic energy can transform into other types of energy.
True
True or false: There is only one type of linear momentum.
True
True or false: The momentum of a system of two equal-mass particles heading towards each other along a line is zero.
True
True or false: Models based on momentum and energy are the same.
False
True or false: The time rate of change of linear momentum is equal to the net force acting on a particle.
True
True or false: Newton's second law relates linear momentum to the resultant force acting on a particle.
True
True or false: Equation 9.3 can be used to represent the change in motion by using the derivative of momentum with respect to time?
True
True or false: The form of Newton's second law presented in Chapter 5 is more general than the alternative form using the derivative of momentum?
False
True or false: Equation 9.3 can be used to study phenomena where the mass of an object changes?
True
True or false: The mass of a rocket changes as fuel is burned and ejected from the rocket?
True
True or false: The equation g_F = ma_S can be used to analyze rocket propulsion?
False
True or false: The momentum approach must be used to analyze rocket propulsion?
True
True or false: The momentum approach is more general than the acceleration approach in analyzing rocket propulsion?
True
True or false: Equation 9.3 is known as Newton's second law for a particle?
True
True or false: Equation 9.3 can only be used when the velocity vector varies with time?
False
True or false: Equation 9.3 can be used to represent the change in motion for any object?
True
True or false: When two cars collide, both cars change their motion from having a very large velocity to being at rest because of the collision.
True
True or false: The average force experienced by each car during a collision is very large because each car experiences a large change in velocity over a very short time interval.
True
True or false: According to Newton's third law, each of the cars experiences a force of the same magnitude during a collision.
True
True or false: According to Newton's second law, the results of the forces experienced during a collision depend on the mass of the car.
True
True or false: Momentum is a concept that is useful for describing objects in motion and is related to both mass and velocity.
True
True or false: Conservation of momentum is a conservation law that applies to the total momentum of a system of objects.
True
True or false: Momentum can be conserved in both isolated and nonisolated systems.
True
True or false: Analysis models involving momentum are particularly useful for solving problems related to collisions between objects and rocket propulsion.
True
True or false: The center of mass of a system of particles can be described by the motion of one particle located at the center of mass that represents the entire system.
True
True or false: In Chapter 8, problems involving situations that are difficult to analyze with Newton's laws were solved by applying the conservation of energy principle.
True
What does Equation 9.3 represent?
The change in motion using the derivative of momentum with respect to time.
What can Equation 9.3 be used to study?
Phenomena in which the mass changes.
Why can't we use $g_F = ma_S$ to analyze rocket propulsion?
Because the mass of a rocket changes as fuel is burned and ejected from the rocket.
What is the more general form of Newton's second law?
The alternative form using the derivative of momentum.
What is momentum?
The product of mass and velocity.
What is the momentum approach particularly useful for?
Solving problems related to collisions between objects and rocket propulsion.
Can Equation 9.3 be used to represent the change in motion for any object?
Yes.
Is the momentum approach more general than the acceleration approach in analyzing rocket propulsion?
Yes.
Does the mass of a rocket change as fuel is burned and ejected?
Yes.
Can Equation 9.3 be used to study phenomena where the mass of an object changes?
Yes.
What is the main objective of this chapter?
To understand and analyze events involving collisions and rocket propulsion.
What is momentum?
Momentum is a concept that is useful for describing objects in motion and is related to both mass and velocity.
What is the conservation law related to momentum called?
Conservation of momentum.
What is the center of mass of a system of particles?
The center of mass is a point that represents the entire system, and the motion of the system can be described by the motion of one particle located at the center of mass.
What type of problems are analysis models involving momentum particularly useful for?
Problems involving collisions between objects and rocket propulsion.
According to Newton's third law, what is the relationship between the forces experienced by two cars during a collision?
Each car experiences a force of the same magnitude.
What is the average force experienced by each car during a collision?
The average force is very large because each car experiences a large change in velocity over a very short time interval.
What is the equation that relates the change in motion to the derivative of momentum with respect to time?
$F = \frac{dp}{dt}$
What is the equation that represents Newton's second law for a particle?
$F = ma$
What principle was applied to solve problems involving situations that are difficult to analyze with Newton's laws in Chapter 8?
Conservation of energy principle.
What is the definition of linear momentum?
The linear momentum of a particle or an object that can be modeled as a particle of mass $m$ moving with a velocity $v_S$ is defined to be the product of the mass and velocity of the particle: $p_S = mv_S$.
Is linear momentum a scalar or a vector quantity?
Linear momentum is a vector quantity because it equals the product of a scalar quantity $m$ and a vector quantity $v_S$. Its direction is along $v_S$, it has dimensions $ML/T$, and its SI unit is $kg \cdot m/s$.
What are the three components of linear momentum?
If a particle is moving in an arbitrary direction, $p_S$ has three components, and Equation 9.2 is equivalent to the component equations $p_x = mv_x$, $p_y = mv_y$, $p_z = mv_z$.
What is the equation that relates the time rate of change of linear momentum to the net force acting on a particle?
The equation is $F_S = \frac{d p_S}{dt}$, where $F_S$ is the net force acting on the particle and $\frac{d p_S}{dt}$ is the time rate of change of the linear momentum of the particle.
What is the equation for the time rate of change of linear momentum?
$\frac{d p_S}{dt}$.
What is the equation for the net force acting on a particle?
$F_S$.
What is the equation for the definition of linear momentum?
$p_S = mv_S$.
What is the SI unit of linear momentum?
The SI unit of linear momentum is $kg \cdot m/s$.
What is the equation for the three components of linear momentum?
The equation is $p_x = mv_x$, $p_y = mv_y$, $p_z = mv_z$.
What is the definition of linear momentum?
The product of mass and velocity
What is the equation for the time rate of change of linear momentum?
$F_S = \frac{{\Delta p_S}},{{\Delta t}}$
What is the equation that relates the change in motion to the derivative of momentum with respect to time?
$F_S = \frac{{\Delta p_S}},{{\Delta t}}$
What type of problems are analysis models involving momentum particularly useful for?
Problems related to collisions between objects
What are the three components of linear momentum?
Mass, velocity, and time
Is linear momentum a scalar or a vector quantity?
Vector
True or false: The momentum approach is more general than the acceleration approach in analyzing rocket propulsion?
False
True or false: The mass of a rocket changes as fuel is burned and ejected from the rocket?
True
True or false: Conservation of momentum is a conservation law that applies to the total momentum of a system of objects.
True
True or false: The average force experienced by each car during a collision is very large because each car experiences a large change in velocity over a very short time interval.
True
Which equation represents the change in motion according to Equation 9.3?
$a_S = \frac{dp_S}{dt}$
Which statement is true about Equation 9.3?
Equation 9.3 can be used to study phenomena where the mass of an object changes.
What is the equation for the three components of linear momentum?
$p_S = mv_S$
What is the conservation law related to momentum called?
Law of conservation of momentum
What is the definition of linear momentum?
The product of mass and velocity
Is the momentum approach more general than the acceleration approach in analyzing rocket propulsion?
True
True or false: The momentum of a system of two equal-mass particles heading towards each other along a line is zero.
False
True or false: Linear momentum is defined as the product of mass and velocity.
True
Can Equation 9.3 be used to represent the change in motion for any object?
True
What is the center of mass of a system of particles?
The average position of all the particles in the system
Which of the following is true about the average force experienced by each car during a collision?
The average force is very large
What is the main objective of this chapter?
To understand and analyze events involving changes in motion
What is the equation for the definition of linear momentum?
$p = mv$
What principle was applied to solve problems involving situations that are difficult to analyze with Newton's laws in Chapter 8?
Conservation of energy
What is the equation for the time rate of change of linear momentum?
$F = \frac{{\Delta p}},{{\Delta t}}$
What is the equation for the net force acting on a particle?
$F = ma$
What is the equation for the three components of linear momentum?
$p_x = mv_x$, $p_y = mv_y$, $p_z = mv_z$
What is the SI unit of linear momentum?
kg•m/s
What is the equation for the three components of linear momentum?
$p_x = mv_x$, $p_y = mv_y$, $p_z = mv_z$
What is the equation for the three components of linear momentum?
$p_x = mv_x$, $p_y = mv_y$, $p_z = mv_z$
Test your knowledge of Newton's third law of motion and the forces involved in collisions with this quiz. Explore the concepts of velocity change, average force, and the impact on objects during collisions.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
