Newton's Laws of Motion
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Questions and Answers

A rocket taking off experiences an action-reaction pair. Which statement accurately describes this interaction, according to Newton's Third Law?

  • The rocket pushing down on the fuel exhaust (action) and the fuel exhaust pushing up on the rocket (reaction) are unequal in magnitude.
  • The rocket pushing down on the fuel exhaust is the action, while the rocket accelerating upwards is the reaction.
  • The rocket pushing down on the fuel exhaust is the action, while the Earth pulling down on the rocket is the reaction.
  • The rocket pushing down on the fuel exhaust (action) and the fuel exhaust pushing up on the rocket (reaction) are equal in magnitude and opposite in direction. (correct)

According to Newton's Second Law, how does increasing the mass of an object influence its acceleration if the net force acting upon it remains constant?

  • Acceleration decreases proportionally. (correct)
  • Acceleration remains constant.
  • Acceleration increases exponentially.
  • Acceleration increases proportionally.

In the Apollo 13 mission, astronauts were pushed back into their seats as the ship accelerated forward. Which of Newton's Laws best explains this phenomenon?

  • Newton's Second Law (F=ma)
  • Newton's First Law (Law of Inertia) (correct)
  • Newton's Law of Universal Gravitation
  • Newton's Third Law (Action-Reaction)

An object is in dynamic equilibrium. Which of the following statements must be true?

<p>The object is moving at a constant velocity and the net force acting on it is zero. (B)</p> Signup and view all the answers

A lab experiment involves pulling a cart with a constant force. If the mass of the cart is doubled, what happens to the acceleration of the cart?

<p>The acceleration is halved (D)</p> Signup and view all the answers

In an experiment exploring Newton's Second Law, the net force on a cart is kept constant while the mass of the cart is varied. Which graph below represents the expected relationship between the cart's mass ($m$) and its acceleration ($a$)?

<p>A hyperbola, showing an inverse relationship (A)</p> Signup and view all the answers

When a soccer player kicks a ball, the player's foot applies a force to the ball. According to Newton's Third Law, what is the reaction force?

<p>The force of the ball pushing back on the player's foot. (B)</p> Signup and view all the answers

A constant net force is applied to two objects. Object A has a mass of 2kg, and Object B has a mass of 6kg. Which of the following statements is true?

<p>Object A will have three times the acceleration of Object B. (A)</p> Signup and view all the answers

How does inertia affect an object's motion?

<p>Inertia causes an object in motion to remain in motion and a stationary object to remain stationary unless acted upon by an external force. (D)</p> Signup and view all the answers

In a controlled experiment studying Newton's Second Law, a student wants to investigate how the applied force affects the acceleration of a cart while keeping the mass constant. What should the student do to ensure the mass remains constant throughout the experiment?

<p>Use the same cart and do not add or remove any mass during the experiment. (B)</p> Signup and view all the answers

Flashcards

Static Equilibrium

Forces are balanced and the object is at rest.

Dynamic Equilibrium

Forces are balanced, object is moving at a constant velocity

Newton's First Law

Object at rest stays at rest, object in motion stays in motion unless acted on by an unbalanced force

Inertia

Property of matter that describes an object's resistance to acceleration.

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Newton's Second Law

Describes how an object's motion changes when a force is applied.

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Newton's Third Law

Every action has an equal and opposite reaction.

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Increasing mass, constant force

The acceleration of the cart will decrease

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Increasing force, constant mass

The acceleration of the cart will increase.

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Mass vs Acceleration

Acceleration and mass have an inverse relationship.

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Force vs Acceleration

Acceleration and net force have a direct relationship.

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Study Notes

  • Newton's Laws involve free body diagrams
  • Static equilibrium involves balanced forces and an object at rest
  • Dynamic equilibrium involves balanced forces and an object moving at a constant velocity

Newton's First Law

  • An object at rest stays at rest, and an object in motion stays in motion (in a straight line at a constant speed) unless acted upon by an unbalanced force
  • This is inertia
  • Mass determines how much inertia an object has
  • Inertia refers to a property of matter that describes an object's resistance to acceleration
  • Inertia is not a force

Inertia

  • Inertia causes an object in motion to remain in motion and a stationary object to remain stationary
  • In space travel objects travel in a straight line unless another force acts upon them

Newton's Second Law

  • Fnet = ma - law describes how an object's motion changes when a force is applied to it
  • Fg = m * g (g = 9.81 m/s²)
  • Free body diagrams can be utilized to find Fnet
  • Acceleration shows an inverse relationship with mass
  • Acceleration shows an equal relationship with force

Newton's Third Law

  • Every action has an equal and opposite reaction
  • Action and reaction forces occur in pairs that have equal magnitude and opposite direction
  • Examples:
    • Soccer player kicks ball forward (action), ball pushes foot backward (reaction)
    • Motorboat pushes water backward (action), water pushes motor forward (reaction)
  • Rocket Action and Reaction:
    • Taking off: Rocket pushes down on the fuel exhaust (action), fuel exhaust pushes up on the rocket (reaction)
    • Moving through space: Rocket pushes down on fuel exhaust (action), fuel exhaust pushes up on the rocket (reaction)

Apollo 13 Movie

  • The movie follows three astronauts, Jim Lovell, John Swigert, and Fred Haise, who attempted to land on the moon
  • They could not land on the moon due to an oxygen tank bursting
  • They did a free trajectory return and landed safely
  • They were pushed back on their seats because as the ship accelerates forward, and the astronauts accelerate backwards due to inertia (Newton's First Law)
  • They accelerate or exert a force when they burn the engine (Newton's Second Law)
  • The rocket pushes down on the fuel exhaust, and the fuel exhaust pushes up on the rocket causing the rocket to accelerate away from the Earth (Newton's Third Law)

Newton's Second Law Lab

  • This experiment tested how different amounts of mass affected the acceleration of a cart by increasing the amount of mass by 0.5 kg and releasing the cart and seeing how much it's acceleration was
    • The independent variable was the mass of the cart (kg)
    • The dependent variable was the acceleration of the cart (m/s²)
    • The controlled variable was the applied force (about 0.5N - mass hanger plus mass on hanger = 50g)
  • The relationship between the mass of the cart and the acceleration of the cart is inverse - as the mass of the cart increases, the acceleration of the cart decreases (y = 0.46/x)
  • The relationship between net force and acceleration is linear (Fnet = ma)
  • The relationship between m and a is inverse
  • The relationship between Fnet and a is linear
  • Acceleration of the cart would change if the mass or the net force were increased or decreased

Net Force/Applied Force

  • Increase: The acceleration of the cart would increase because a larger force would be acting on it, and acceleration has a direct relationship with force
  • Decrease: The acceleration of the cart would decrease because a smaller force would be acting on it, and acceleration has a direct relationship with force

Mass on the Cart

  • Increase: The acceleration of the cart would decrease because acceleration has an inverse relationship with mass
  • Decrease: The acceleration of the cart would increase because acceleration has an inverse relationship with mass
  • If the applied force/controlled variable increased, the inverse curve would move further away from the axis
  • If the applied force/controlled variable decreased, the inverse curve would move closer to the axis

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Explore Newton's Laws of Motion, including the concepts of inertia, static equilibrium, and dynamic equilibrium. Learn how to apply these laws to analyze the motion of objects. Also, see how free body diagrams are utilized to find net force.

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