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Questions and Answers
What is the relationship between momentum (p) and kinetic energy (EK)?
What is the relationship between momentum (p) and kinetic energy (EK)?
What is the SI unit of momentum?
What is the SI unit of momentum?
What happens to an object's momentum if the net force acting on it is zero?
What happens to an object's momentum if the net force acting on it is zero?
What is the relationship between the change in momentum and the net force acting on an object?
What is the relationship between the change in momentum and the net force acting on an object?
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Which of these scenarios would cause a change in momentum for an object?
Which of these scenarios would cause a change in momentum for an object?
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What is the momentum of a 1 kg object traveling at 10 m/s?
What is the momentum of a 1 kg object traveling at 10 m/s?
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If the momentum of an object doubles, what happens to its kinetic energy?
If the momentum of an object doubles, what happens to its kinetic energy?
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Which of the following statements about momentum is true?
Which of the following statements about momentum is true?
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What is the archer's velocity (v1f) after firing the first arrow?
What is the archer's velocity (v1f) after firing the first arrow?
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What is the archer's velocity (v1f) after firing the second arrow?
What is the archer's velocity (v1f) after firing the second arrow?
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What is the acceleration of the arrow?
What is the acceleration of the arrow?
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What is the time for which the arrow is being accelerated by the bowstring?
What is the time for which the arrow is being accelerated by the bowstring?
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What is the x-component of the momentum equation for the first arrow firing?
What is the x-component of the momentum equation for the first arrow firing?
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What is the value of the archer's initial velocity, v1i?
What is the value of the archer's initial velocity, v1i?
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What is the final velocity of the second arrow?
What is the final velocity of the second arrow?
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What is the angle at which the second arrow is fired?
What is the angle at which the second arrow is fired?
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What is the relationship between the average force exerted by m2 on m1 and the average force exerted by m1 on m2?
What is the relationship between the average force exerted by m2 on m1 and the average force exerted by m1 on m2?
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What is the significance of the equation 𝑚1 𝑣⃗1𝑓 + 𝑚2 𝑣⃗2𝑓 = 𝑚1 𝑣⃗1𝑖 + 𝑚2 𝑣⃗2𝑖?
What is the significance of the equation 𝑚1 𝑣⃗1𝑓 + 𝑚2 𝑣⃗2𝑓 = 𝑚1 𝑣⃗1𝑖 + 𝑚2 𝑣⃗2𝑖?
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Which of the following statements accurately describes the impulse-momentum theorem?
Which of the following statements accurately describes the impulse-momentum theorem?
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What is the implication of the statement that the total momentum of an isolated system remains constant?
What is the implication of the statement that the total momentum of an isolated system remains constant?
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In a head-on collision between two objects, what is the relationship between the change in velocity of the lighter object and the heavier object?
In a head-on collision between two objects, what is the relationship between the change in velocity of the lighter object and the heavier object?
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In the equation 𝐹⃗21 ∆𝑡 = 𝑚1 𝑣⃗1𝑓 − 𝑚1 𝑣⃗1𝑖, what does 𝑣⃗1𝑖 represent?
In the equation 𝐹⃗21 ∆𝑡 = 𝑚1 𝑣⃗1𝑓 − 𝑚1 𝑣⃗1𝑖, what does 𝑣⃗1𝑖 represent?
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What is a key assumption made in the derivation of the equation 𝑚1 𝑣⃗1𝑓 + 𝑚2 𝑣⃗2𝑓 = 𝑚1 𝑣⃗1𝑖 + 𝑚2 𝑣⃗2𝑖?
What is a key assumption made in the derivation of the equation 𝑚1 𝑣⃗1𝑓 + 𝑚2 𝑣⃗2𝑓 = 𝑚1 𝑣⃗1𝑖 + 𝑚2 𝑣⃗2𝑖?
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Why is it important to consider the concept of an isolated system when applying the law of conservation of momentum?
Why is it important to consider the concept of an isolated system when applying the law of conservation of momentum?
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What is the definition of impulse?
What is the definition of impulse?
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When is the impulse-momentum theorem always true?
When is the impulse-momentum theorem always true?
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What is the unit of impulse?
What is the unit of impulse?
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What is the average force?
What is the average force?
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What is the relationship between impulse and change in momentum?
What is the relationship between impulse and change in momentum?
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What happens to the momentum of an object if a constant force acts on it for a longer time?
What happens to the momentum of an object if a constant force acts on it for a longer time?
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If the impulse acting on an object is zero, what can you conclude about its momentum?
If the impulse acting on an object is zero, what can you conclude about its momentum?
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Which of the following is NOT a factor that affects the impulse experienced by an object?
Which of the following is NOT a factor that affects the impulse experienced by an object?
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What is the total mass of the car and truck after they collide?
What is the total mass of the car and truck after they collide?
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Why is the final velocity of the wreckage determined by the x and y components?
Why is the final velocity of the wreckage determined by the x and y components?
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What is the initial total momentum in the x-direction?
What is the initial total momentum in the x-direction?
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What does the equation ∑𝒑𝒙𝒊 = 𝒎𝐜𝐚𝐫 𝒗𝐜𝐚𝐫 represent?
What does the equation ∑𝒑𝒙𝒊 = 𝒎𝐜𝐚𝐫 𝒗𝐜𝐚𝐫 represent?
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Which of the following assumptions is NOT made in the provided example?
Which of the following assumptions is NOT made in the provided example?
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If the collision were elastic, what would be an additional conserved quantity?
If the collision were elastic, what would be an additional conserved quantity?
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Which of the following correctly describes the final momentum of the wreckage?
Which of the following correctly describes the final momentum of the wreckage?
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What happens to the total linear momentum of a system when no external forces act on it?
What happens to the total linear momentum of a system when no external forces act on it?
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In a glancing collision, what does 'glancing' refer to?
In a glancing collision, what does 'glancing' refer to?
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In the equation for the conservation of momentum in the x-direction, m<sub>1</sub>v<sub>1ix</sub> + m<sub>2</sub>v<sub>2ix</sub> = m<sub>1</sub>v<sub>1fx</sub> + m<sub>2</sub>v<sub>2fx</sub>
, what does the subscript 'i' refer to?
In the equation for the conservation of momentum in the x-direction, m<sub>1</sub>v<sub>1ix</sub> + m<sub>2</sub>v<sub>2ix</sub> = m<sub>1</sub>v<sub>1fx</sub> + m<sub>2</sub>v<sub>2fx</sub>
, what does the subscript 'i' refer to?
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In the provided equations, how many unknowns are there for a glancing collision where the initial velocity, masses, and whether the collision is elastic are known?
In the provided equations, how many unknowns are there for a glancing collision where the initial velocity, masses, and whether the collision is elastic are known?
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What does the equation 1/2 * m<sub>1</sub> * v<sub>1i</sub><sup>2</sup> = 1/2 * m<sub>1</sub> * v<sub>1f</sub><sup>2</sup> + 1/2 * m<sub>2</sub> * v<sub>2f</sub><sup>2</sup>
represent?
What does the equation 1/2 * m<sub>1</sub> * v<sub>1i</sub><sup>2</sup> = 1/2 * m<sub>1</sub> * v<sub>1f</sub><sup>2</sup> + 1/2 * m<sub>2</sub> * v<sub>2f</sub><sup>2</sup>
represent?
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What is the significance of the y-component of momentum being zero in the equation 0 + 0 = m<sub>1</sub>v<sub>1f</sub> sin 𝜃 + m<sub>2</sub>v<sub>2f</sub> sin 𝜑
?
What is the significance of the y-component of momentum being zero in the equation 0 + 0 = m<sub>1</sub>v<sub>1f</sub> sin 𝜃 + m<sub>2</sub>v<sub>2f</sub> sin 𝜑
?
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If the collision is perfectly elastic, what is conserved?
If the collision is perfectly elastic, what is conserved?
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Why are glancing collisions considered a special case of collisions?
Why are glancing collisions considered a special case of collisions?
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Flashcards
Components of momentum
Components of momentum
Momentum in Cartesian coordinates: px = mvx, py = mvy, pz = mvz
Magnitude of momentum
Magnitude of momentum
Magnitude of momentum is given by p = √(px² + py² + pz²)
Kinetic energy and momentum relationship
Kinetic energy and momentum relationship
Kinetic energy EK relates to momentum as EK = p²/(2m)
SI unit of momentum
SI unit of momentum
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Newton's Second Law Formulation
Newton's Second Law Formulation
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Conservation of Momentum
Conservation of Momentum
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Change in momentum
Change in momentum
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Velocity terms in momentum expression
Velocity terms in momentum expression
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Impulse
Impulse
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Impulse-Momentum Theorem
Impulse-Momentum Theorem
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Momentum
Momentum
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Vector Quantity
Vector Quantity
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Constant Force
Constant Force
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Average Force
Average Force
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Time Interval (Δt)
Time Interval (Δt)
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Collision Impulse Calculation
Collision Impulse Calculation
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Collision Forces
Collision Forces
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Total Momentum in Collisions
Total Momentum in Collisions
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Average Forces During Collision
Average Forces During Collision
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Momentum Change in Collisions
Momentum Change in Collisions
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Newton’s Third Law
Newton’s Third Law
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Isolated System Definition
Isolated System Definition
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Final momentum equation
Final momentum equation
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Substituted values for momentum
Substituted values for momentum
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Archer's final velocity after firing
Archer's final velocity after firing
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Angle in momentum equation
Angle in momentum equation
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Acceleration of the arrow
Acceleration of the arrow
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Estimating acceleration
Estimating acceleration
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Time of arrow acceleration
Time of arrow acceleration
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Normal force on the archer
Normal force on the archer
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Two-dimensional collisions
Two-dimensional collisions
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X-component momentum equation
X-component momentum equation
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Y-component momentum equation
Y-component momentum equation
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Elastic collision
Elastic collision
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Unknowns in collision equations
Unknowns in collision equations
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Angle of deflection (θ)
Angle of deflection (θ)
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Angle of deflection (φ)
Angle of deflection (φ)
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Types of Collisions
Types of Collisions
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Perfectly Inelastic Collision
Perfectly Inelastic Collision
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Momentum Conservation
Momentum Conservation
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Kinetic Energy in Inelastic Collisions
Kinetic Energy in Inelastic Collisions
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Initial Momentum Calculation
Initial Momentum Calculation
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Final Velocity after Collision
Final Velocity after Collision
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Friction Neglect in Collisions
Friction Neglect in Collisions
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Study Notes
Linear Momentum
- Linear momentum (momentum) of a body is defined as the product of its mass and velocity
- p = mv, where p represents momentum, m is mass, and v is velocity
- Momentum is a vector quantity, meaning it has both magnitude and direction
Impulse
- Impulse is a vector quantity with the same direction as the constant force acting on an object
- Impulse, I, is equal to the change in momentum (Δp), and is calculated as:
- I = FΔt = Δp = mv₁ – mv₀, where F is the force, Δt is the time interval, v₁ is the final velocity, and v₀is the initial velocity
Conservation of Momentum
- When a collision occurs within an isolated system, the total momentum of the system doesn't change
- The total momentum before the collision equals the total momentum after the collision.
- The principle of conservation of momentum is valid for both elastic and inelastic collisions, provided an isolated system is considered.
Types of Collisions
- Elastic collision: In an elastic collision, both momentum and kinetic energy are conserved
- Inelastic collision: In an inelastic collision, momentum is conserved, but kinetic energy is not conserved
- Perfectly inelastic collision: A perfectly inelastic collision is a specific type of inelastic collision in which the colliding objects stick together after the collision, moving with a common final velocity.
Center of Mass
- The center of mass (CM) of a system of particles is the average position of the system's mass. It's the point at which the system can be balanced if suspended from that point
- In a system of multiple point masses, the coordinates of the CM are given by these expressions:
- XCM = Σmixi/Σmi
- YCM = Σmiyi/Σmi
- ZCM = Σmizi/Σmi where mi represents the mass of the ith particle and xi, yi, zi represent the i-th particle's x, y, and z coordinates, respectively.
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Description
Test your understanding of the relationship between momentum and kinetic energy in this physics quiz. Answer questions about momentum calculations, SI units, and the effects of force on momentum. Perfect for students looking to strengthen their grasp of these fundamental concepts.