Momentum and Impulse Quiz
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Questions and Answers

What happens to the total momentum of the car-mosquito system during the collision?

  • Increases
  • Remains the same (correct)
  • Decreases
  • Becomes negative

The momentum of the mosquito remained the same after the collision.

False (B)

Which object experiences a greater change in velocity during the collision?

The mosquito

Impulse is equal in magnitude but opposite in __________ for the car and mosquito.

<p>direction</p> Signup and view all the answers

Match each object with the action it experiences during the collision:

<p>Car = Transmits momentum Mosquito = Gains momentum Both = Experience equal impulse</p> Signup and view all the answers

Which changed its momentum by more during the collision?

<p>Mosquito (B)</p> Signup and view all the answers

What is the impulse experienced by Object A?

<p>40 Ns (A)</p> Signup and view all the answers

The final velocity of Object B is greater than that of Object A.

<p>False (B)</p> Signup and view all the answers

The impulse experienced by both the car and the mosquito differs in magnitude.

<p>False (B)</p> Signup and view all the answers

What is the force experienced by Object C?

<p>14 N</p> Signup and view all the answers

Rank the following in increasing order of impulse: a car, a mosquito, and a truck.

<p>Mosquito &lt; Car &lt; Truck</p> Signup and view all the answers

The mass of Object A is ______________.

<p>5.0 kg</p> Signup and view all the answers

Match each object to its corresponding impulse value:

<p>Object A = 40 Ns Object B = 30 Ns Object C = 28 Ns</p> Signup and view all the answers

Which object has the highest initial velocity?

<p>Both A and C (D)</p> Signup and view all the answers

Both Car 1 and Car 2 have the same mass.

<p>True (A)</p> Signup and view all the answers

Calculate the final velocity of a 20 kg object after experiencing an impulse that increases its velocity by 6 m/s if its initial velocity is 3 m/s.

<p>9 m/s</p> Signup and view all the answers

Which of the following scenarios describes an elastic collision?

<p>A 10 kg cart moving at 7 m/s collides with a 5 kg cart, which rebounds at 10 m/s. (B), Two ice skaters push off each other and move in opposite directions. (C)</p> Signup and view all the answers

The final speed of the 75 kg cart after the collision is more than 10 m/s.

<p>False (B)</p> Signup and view all the answers

What is the final velocity of Skater B after pushing off from Skater A?

<p>3.18 m/s</p> Signup and view all the answers

The type of collision when two ice skaters push off each other is called an ______.

<p>explosion</p> Signup and view all the answers

Match the car mass with its collision type:

<p>10 kg cart at 7 m/s = Elastic collision 100 kg cart at 5 m/s = Elastic collision 7150 kg railroad car = Inelastic collision 1500 kg car and 3000 kg truck = Inelastic collision</p> Signup and view all the answers

What is the final speed of the 10 kg cart after colliding with the 5 kg cart?

<p>7 m/s (A)</p> Signup and view all the answers

The momentum is conserved in an inelastic collision.

<p>True (A)</p> Signup and view all the answers

Calculate the velocity of the boat after throwing a package weighing 5.30 kg at 10 m/s.

<p>5.08 m/s</p> Signup and view all the answers

Flashcards

Conservation of Momentum

The total momentum of a system remains constant in the absence of external forces.

Impulse-Momentum Theorem

The change in momentum of an object is equal to the impulse applied to it.

Momentum

A vector quantity representing the mass in motion of an object. It is calculated by multiplying the object's mass by its velocity.

Impulse

The product of the force applied to an object and the time for which it is applied. It is a measure of the change in momentum.

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Acceleration

The change in velocity of an object over a given time interval.

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Inertia

The tendency of an object to resist changes in its motion. It is measured by the object's mass.

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Friction

The force that opposes the relative motion of two surfaces in contact with each other.

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Newton's Third Law of Motion

Newton's third law states that for every action, there is an equal and opposite reaction. In any interaction between two objects, there is always a pair of forces acting on them.

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Inelastic Collision

A collision where kinetic energy is not conserved.

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Elastic Collision

A collision where kinetic energy is conserved. The total kinetic energy before the collision equals the total kinetic energy after the collision.

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Explosion Collision

A collision where objects move apart after the collision. The total momentum of the system is conserved.

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Kinetic Energy

A measure of how much energy an object has due to its motion. The kinetic energy of an object is directly proportional to its mass and the square of its velocity.

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What is Impulse?

Impulse is the change in momentum of an object. It is measured in Newton-seconds (Ns).

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How to calculate Impulse?

Impulse is calculated using the formula: Impulse = Force x Time or Impulse = Change in Momentum.

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What is Momentum?

Momentum is the measure of an object's mass in motion. It is calculated by multiplying mass by velocity. Momentum = mass x velocity

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What is Force?

Force is a push or pull that can cause a change in motion. It is measured in Newtons (N).

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How to calculate final velocity from impulse?

The final velocity of an object can be found by applying the impulse-momentum theorem: Impulse = Change in Momentum. Change in Momentum = Final Momentum - Initial momentum. The equation becomes; Impulse = Final Momentum - Initial momentum. Solving for Final Momentum we get: Final Momentum = Impulse + Initial momentum. Since momentum (p) = mass x velocity, we can rewrite that as mass x final velocity = Impulse + mass x initial velocity. Solving for final velocity (Vf): Vf = (Impulse + mass x initial velocity)/ mass

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What is the impulse-momentum theorem?

The impulse-momentum theorem states that the impulse applied to an object is equal to the change in momentum of the object. Impulse = Change in Momentum

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How to calculate Force?

Force is calculated by dividing the impulse by the time over which the impulse acts. Force = Impulse/Time.

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How to calculate average force?

Average force is the total impulse divided by the time interval over which it acts. Average Force = Total Impulse / Time

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Study Notes

Momentum and Impulse

  • Conservation of Momentum: Momentum is conserved in the absence of external forces. The total momentum of a system remains constant before and after a collision.
  • Momentum Change of Objects: If a system's total momentum remains constant, any increase in momentum of one object is balanced by an equal and opposite decrease in the momentum of another object within the system.
  • Velocity Change: A smaller mass experiences a larger change in velocity compared to a larger mass, given the same momentum change.
  • Impulse: Impulse is the change in momentum. It is equal in magnitude but opposite in direction for interacting objects in a collision.

Ranking Objects by Impulse and Force

  • Impulse Calculation: Impulse (I) is calculated as the product of mass (m) and change in velocity (Δv). Impulse (I) = mΔv .
  • Force Calculation: Force (F) is calculated as the change in momentum (Δp) divided by the time interval (t) over which the change occurs. Force (F) = Δp/t .
  • Impulse Ranking: Rank objects in ascending order of impulse (smallest to largest).
  • Force Ranking: Rank objects in ascending order of force (smallest to largest).

Collision Types

  • Elastic Collision: Momentum and kinetic energy are conserved in an elastic collision. The total kinetic energy remains constant.
  • Inelastic Collision: Momentum is conserved; however, kinetic energy is NOT conserved. Some kinetic energy is transformed into other forms of energy (e.g., heat, sound)
  • Explosion Collision: An explosion collision is an example of an inelastic collision where the momentum of the system is conserved. A small amount of mass is broken up into larger quantities of mass, which creates an increase in overall kinetic energy. More kinetic energy is released into the surrounding environment.

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Description

Test your understanding of momentum and impulse in physics. This quiz covers conservation of momentum, impulse calculation, and the relationship between mass and changes in velocity. Dive into the principles that govern collisions and forces in motion.

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