Newton's Laws of Motion

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Questions and Answers

A car is moving at a constant velocity. According to Newton's First Law, what is required to change the car's velocity?

  • A decrease in the car's mass.
  • No force is required to maintain constant velocity.
  • An external force acting on the car. (correct)
  • A constant force in the direction of motion.

Two objects, one with a mass of 2kg and the other with a mass of 4kg, are subjected to the same force. According to Newton's Second Law, how will their accelerations compare?

  • The accelerations will be inversely proportional to the square of their masses.
  • Both objects will have the same acceleration.
  • The 2kg object will have twice the acceleration of the 4kg object. (correct)
  • The 4kg object will have twice the acceleration of the 2kg object.

A book rests on a table. Which of the following statements best describes the reaction force, as defined by Newton's Third Law?

  • The force exerted by the book on the table. (correct)
  • The force exerted by the Earth on the table.
  • The force of gravity pulling the book downwards.
  • The combined weight of the book and the table.

Which of the following scenarios best illustrates the concept of inertia?

<p>A stationary car resisting being pushed. (C)</p> Signup and view all the answers

A rocket in space expels exhaust gases. How does this demonstrate Newton's Third Law?

<p>The rocket pushes the exhaust gases backward (action), and the exhaust gases push the rocket forward (reaction). (C)</p> Signup and view all the answers

A box is being pushed across a rough floor at a constant speed. What can be concluded about the forces acting on the box?

<p>The applied force is equal to the frictional force. (D)</p> Signup and view all the answers

An astronaut is using a wrench to tighten a bolt on the International Space Station. Considering Newton's Third Law, what happens as the astronaut turns the wrench?

<p>The astronaut exerts a force on the wrench, and the wrench exerts an equal and opposite force back on the astronaut. (B)</p> Signup and view all the answers

In what type of scenarios do Newton's Laws of Motion begin to lose accuracy and require modification or replacement with other theories?

<p>In scenarios involving objects moving at speeds approaching the speed of light or in very strong gravitational fields. (C)</p> Signup and view all the answers

A projectile is launched into the air. Assuming air resistance is negligible, what is the primary force acting on the projectile during its flight?

<p>The force of gravity (B)</p> Signup and view all the answers

A satellite is orbiting the Earth in a circular path. Which of the following forces is primarily responsible for maintaining this circular motion?

<p>The gravitational force between the Earth and the satellite (B)</p> Signup and view all the answers

Flashcards

Newton's First Law

An object remains at rest, or in motion at a constant velocity, unless acted upon by a net external force.

Newton's Second Law

The acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass.

Newton's Third Law

For every action, there is an equal and opposite reaction.

Inertia

The tendency of an object to resist changes in its state of motion.

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Inertial Frame of Reference

A frame of reference that is not accelerating or rotating, where Newton's first law holds true.

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Projectile Motion

Motion of objects launched into the air under the influence of gravity.

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Circular Motion

Motion of objects moving in a circular path, requiring a centripetal force.

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Rocket Propulsion

Generating thrust by expelling exhaust gases, based on action-reaction.

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Limitations of Newton's Laws

Breaks down at very high speeds where relativistic effects become significant.

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Study Notes

  • Newton's laws of motion describe the relationship between a body, the forces acting on it, and its motion in response to those forces.
  • These laws form the foundation for classical mechanics.

Newton's First Law - Law of Inertia

  • An object at rest stays at rest, and an object in motion stays in motion with the same speed and in the same direction unless acted upon by a force.
  • This law defines inertia as the tendency of an object to resist changes in its state of motion.
  • Inertia is directly proportional to an object's mass; the more massive, the more inertia.
  • Newton's first law is only valid in inertial frames of reference.
  • An inertial frame is one that is not accelerating or rotating.
  • It's where an object not subject to forces will move at a constant velocity.

Newton's Second Law - Law of Acceleration

  • The acceleration of an object is directly proportional to the net force acting on it and in the same direction as the net force, and inversely proportional to the object's mass.
  • This is expressed as F = ma, where F is the net force, m is the mass, and a is the acceleration.
  • Force is a vector quantity with both magnitude and direction.
  • The net force is the vector sum of all forces acting on the object.
  • Acceleration direction is the same as the net force direction.
  • The SI unit of force is the Newton (N), defined as 1 kgâ‹…m/s².

Newton's Third Law - Law of Action-Reaction

  • For every action, there is an equal and opposite reaction.
  • When one object exerts a force on another, the second object exerts an equal force in the opposite direction on the first object.
  • Forces always occur in pairs; a single isolated force cannot exist.
  • Action and reaction forces act on different objects.
  • They are equal in magnitude and opposite in direction.
  • These forces do not cancel each other out.
  • When walking, a person pushes backward on the Earth (action), and the Earth pushes forward on the person (reaction).

Applications of Newton's Laws

  • Projectile Motion involves analyzing the motion of objects launched into the air, with gravity as the main force.
  • Circular Motion explains the motion of objects moving in a circle and introduces centripetal force and acceleration.
  • Rocket Propulsion describes how rockets generate thrust by expelling exhaust gases, using Newton's third law.

Limitations of Newton's Laws

  • Newtonian mechanics is an approximation suitable for everyday situations.
  • It breaks down at very high speeds (near the speed of light) due to relativistic effects.
  • General Relativity is needed when gravity is extremely strong, such as near black holes.
  • It also fails at very small scales (atomic and subatomic) requiring quantum mechanics.
  • Newtonian mechanics assumes constant mass, but mass can change with velocity, as per special relativity.

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