Momentum Calculations
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Questions and Answers

What is the formula used to calculate momentum?

  • Momentum = mass x velocity (correct)
  • Velocity = distance / time
  • Acceleration = change in velocity / time
  • Force = mass x acceleration
  • An object can have momentum when it is at rest.

    False (B)

    What does the term 'vector' refer to in physics?

    A physical quantity that has both magnitude and direction

    The momentum of an object is zero when it is __________.

    <p>at rest</p> Signup and view all the answers

    Match the following objects with their respective masses and speeds:

    <p>Lorry = 7,500 kg at 25 m/s Ice skater = 60 kg at 15 m/s</p> Signup and view all the answers

    What happens to the total momentum in a closed system when an event occurs?

    <p>It remains the same. (D)</p> Signup and view all the answers

    Momentum is conserved in collisions and explosions.

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

    What term describes a system not influenced by external forces?

    <p>closed system</p> Signup and view all the answers

    A cannon with a mass of 96 kg fires a cannonball at _______ m/s.

    <p>120</p> Signup and view all the answers

    Match the types of events with their descriptions:

    <p>Collision = When two objects meet and interact Explosion = When parts of a system separate and move apart Closed System = A system unaffected by external forces Conservation of Momentum = Total momentum remains the same before and after an event</p> Signup and view all the answers

    What will happen to the momentum of the cannon when it fires a cannonball?

    <p>The cannon gains backward momentum. (A)</p> Signup and view all the answers

    The total momentum of the cannon and cannonball before firing is zero.

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

    When two trolleys collide in a closed system, what principle can be used to calculate their combined velocity after the collision?

    <p>principle of conservation of momentum</p> Signup and view all the answers

    What is momentum primarily a combination of?

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

    Increasing the time taken for a collision can increase the rate of change of momentum.

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

    What units are used to quantify force?

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

    The equation to calculate force when a change in momentum occurs is _______ = mass × acceleration.

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

    Match the car safety features with their functions:

    <p>Seatbelts = Secure occupants during a collision Airbags = Inflate to cushion impact Crumple zones = Absorb energy by deforming Anti-lock brakes = Prevent skidding during braking</p> Signup and view all the answers

    Flashcards

    Momentum

    The product of an object's mass and velocity. A combination of how much stuff is moving and how fast it is moving.

    Mass

    The amount of matter an object contains. Measured in kilograms (kg) or grams (g).

    Velocity

    Speed of an object in a particular direction. Important! It is not just the speed. It is speed in a certain direction.

    Vector

    A quantity with both magnitude (size) and direction.

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    Magnitude

    The size of a physical quantity.

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    Conservation of Momentum

    The total momentum of a system remains constant, even if objects within the system interact.

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    Collision

    An interaction between two or more objects where they exchange momentum.

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    Explosion

    The opposite of a collision, where parts of a system separate and move apart.

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    Closed System

    A system where no external forces act on it. This means the total momentum within the system stays constant.

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    Momentum Transfer in Collisions

    The momentum lost by one object in a collision is gained by the other object.

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    Applying Conservation of Momentum

    How to calculate the velocity of an object after an explosion or collision.

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    Momentum Equation

    This equation helps calculate the momentum of an object using its mass and velocity.

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    Rate of change of momentum

    The change in momentum of an object over a certain time.

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    Force and momentum relationship

    Force is proportional to the rate of change of momentum. This means a larger change in momentum over a shorter time will result in a bigger force.

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    Momentum in a collision

    A collision causes a change in momentum for the objects involved. The force of the collision depends on how quickly the momentum changes.

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    Crumple zones and safety

    Crumple zones are designed to increase the time taken for a collision, which decreases the rate of change in momentum, thereby reducing the force on the occupants.

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    Study Notes

    Momentum

    • Momentum is a quantity relating to a moving object, calculated by multiplying mass and velocity.
    • Momentum is a vector quantity, meaning it has both magnitude and direction.
    • An object at rest has zero momentum.
    • Momentum increases with increasing velocity.
    • Momentum can be thought of as a combination of mass and velocity.
    • Momentum helps explain some of the most important interactions in nature.
    • The total momentum before an event equals the total momentum after the event (conservation of momentum).
    • A closed system is not affected by external forces.
    • Momentum is conserved in collisions and explosions.
    • Conservation of momentum explains recoil in guns/cannons.
    • Force is related to the rate of change of momentum (force = rate of change of momentum).

    Calculating Momentum

    • Momentum (p) = mass (m) × velocity (v)
    • Units: kg m/s (kilograms meters per second)

    Example Calculations

    • Lorry:

      • Mass = 7,500 kg
      • Velocity = 25 m/s (south)
      • Momentum = 7,500 kg × 25 m/s = 187,500 kg m/s (south)
    • Ice Skater:

      • Mass = 60 kg
      • Velocity = 15 m/s
      • Momentum = 60 kg × 15 m/s = 900 kg m/s

    Conservation of Momentum

    • The total momentum of a system remains the same.

    Collisions

    • When two objects meet and interact.
    • During a collision there is a change in momentum; the force of the collision is related to the rate of change of momentum.

    Explosions

    • When parts of a system separate and move apart.

    Example: Cannon & Cannonball

    • Before firing (event), total momentum = 0 kg m/s (neither moving).
    • After firing,total momentum = 0 kg m/s (momentum of cannon and cannon ball in opposite directions).

    Example Calculations: Trolleys/ Explosions ( using conservation of momentum)

    • Momentum is calculated for trolleys/ cannon and cannon ball before and after collision/ explosion.
    • The velocity of the combined trolleys/cannon ball and cannon after collision can be calculated using conservation of momentum.
    • Positive values for velocity indicate direction.
    • A cannon ball of mass 4.0 kg is fired from a stationary 96 kg cannon at 120 m/s.
    • The velocity of the cannon immediately after firing can be calculated using conservation of momentum.

    Force and Momentum

    • Force = mass × acceleration
    • Force is equivalent to the rate of change of momentum
    • Car safety features (seatbelts, airbags, crumple zones) increase the time taken for a collision, decreasing the rate of change of momentum and the force of the collision.
    • Crumple zones are areas of a car designed to deform upon impact.

    Example Calculation: Car Acceleration

    • Mass = 1,500 kg
    • Initial velocity = 0 m/s
    • Final velocity = 30 m/s
    • Time taken = 20 seconds
    • Calculate the force acting on the car using the relationship force = mass × change in velocity / time taken

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    Description

    This quiz focuses on the concept of momentum, including its definition, properties, and calculation methods. Explore examples that illustrate how to calculate momentum for different objects using mass and velocity. Test your understanding of this fundamental physics topic.

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