Physics Chapter 7: Newton's Laws of Motion

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Questions and Answers

What must occur for a body initially at rest to start moving?

  • The body must have an initial velocity.
  • An impressed force must be applied in the direction of motion. (correct)
  • A force must be applied in the opposite direction of motion.
  • A balanced force must be applied.

How did Newton define the relationship between force and acceleration?

  • Force is independent of the state of motion.
  • Force is inversely proportional to mass.
  • Force is equal to velocity divided by time.
  • Force is proportional to the acceleration of the object. (correct)

What does the term 'quantity of matter' refer to according to Newton?

  • The density alone of an object.
  • The mass as a measure of inertia derived from density and bulk. (correct)
  • The total mass of an object.
  • The weight of the object when measured on a scale.

What is the relationship between mass and weight according to Newton?

<p>Weight is proportional to mass. (B)</p> Signup and view all the answers

What role does the inertial mass play in determining the magnitude of force?

<p>It serves as a proportionality constant in the force equation. (B)</p> Signup and view all the answers

When a body is moving and a force is applied, what aspects can the applied force change?

<p>The speed and direction of motion. (B)</p> Signup and view all the answers

Which of the following best describes force?

<p>A vector quantity that has both magnitude and direction. (C)</p> Signup and view all the answers

What affects the quantity of matter in a substance?

<p>Both its density and bulk. (D)</p> Signup and view all the answers

What does the First Law of Motion state about an object's state of motion?

<p>An object continues its motion unless a force causes it to change. (A)</p> Signup and view all the answers

According to the First Law of Motion, which of the following conditions must be true when a body is moving at a constant velocity?

<p>Forces are acting in opposite directions that cancel each other out. (B)</p> Signup and view all the answers

What can be inferred if a body changes its velocity?

<p>A non-zero total force must be present. (B)</p> Signup and view all the answers

How can velocity change according to the principles discussed?

<p>By changing its magnitude or direction. (B)</p> Signup and view all the answers

What did Einstein’s principle of inertia build upon that was originally presented by Galileo?

<p>The idea that bodies resist changes in their state of motion. (C)</p> Signup and view all the answers

What does the direction of the force on a standard body represent?

<p>The direction of the acceleration of the body (B)</p> Signup and view all the answers

Which of the following describes the effect of air resistance on projectiles based on Newton’s First Law?

<p>Air resistance counters the projectile's motion, reducing its velocity. (A)</p> Signup and view all the answers

Which equation correctly relates the force to mass and acceleration?

<p>F = ms a (A)</p> Signup and view all the answers

What does the concept of inertia primarily refer to?

<p>The tendency of an object to remain at rest or in uniform motion. (C)</p> Signup and view all the answers

When two forces are applied separately, what do the resulting accelerations represent?

<p>The vector sum of the forces applied (D)</p> Signup and view all the answers

Which scenario would violate Newton's First Law of Motion?

<p>A car accelerating because of applied force on the pedals. (A)</p> Signup and view all the answers

What is the expression for the resultant force when two forces are applied simultaneously?

<p>FT = F1 + F2 (A)</p> Signup and view all the answers

What can be inferred from the experimental result that accelerations add as vectors?

<p>Forces always add linearly (D)</p> Signup and view all the answers

In the given example, what are the components of the forces applied to the post?

<p>F1 = 70 N î + 20 N ĵ, F2 = -30 N î + 40 N ĵ (D)</p> Signup and view all the answers

What must be true for the vector sum of forces on the post to equal zero?

<p>The third force must cancel both F1 and F2 (B)</p> Signup and view all the answers

Which mathematical representation confirms force addition as a vector operation?

<p>$FT = F1 + F2$ (D)</p> Signup and view all the answers

What does Newton's Third Law state about the forces between two interacting bodies?

<p>The forces are equal in magnitude and directed in opposite directions. (A)</p> Signup and view all the answers

What is referred to as an interaction pair in the context of Newton's Third Law?

<p>Two bodies that exert equal forces on each other. (D)</p> Signup and view all the answers

Which of the following statements is true regarding the limitations of Newtonian Mechanics?

<p>It is ineffective for systems moving at speeds greater than 0.1c. (A)</p> Signup and view all the answers

If body 1 exerts a force on body 2, what can be said about the force exerted by body 2 on body 1?

<p>It is equal in magnitude and opposite in direction. (C)</p> Signup and view all the answers

Why does Newtonian Mechanics not explain certain phenomena involving the structure of the universe?

<p>It does not address interactions at the atomic level or speeds close to light. (A)</p> Signup and view all the answers

What does Newton’s First Law imply about motion and the presence of forces?

<p>There is no distinction between an object in motion and an object at rest without external forces. (B)</p> Signup and view all the answers

Which statement accurately describes the concept of momentum?

<p>Momentum is defined as the product of mass and velocity. (D)</p> Signup and view all the answers

According to Newton’s Second Law, how does force relate to the change in motion?

<p>The change of motion is proportional to the motive force applied. (A)</p> Signup and view all the answers

What is the significance of a body that is double in quantity with equal velocity?

<p>Its motion is quadruple. (D)</p> Signup and view all the answers

When forces are applied obliquely, how is the resulting motion described?

<p>The resulting motion is a new motion compounded from both forces. (C)</p> Signup and view all the answers

Which of the following best describes the relationship between force and the resulting change in motion?

<p>The direction of motion change coincides with the applied force. (C)</p> Signup and view all the answers

Which of the following statements about velocity is true?

<p>Velocity includes both speed and direction. (D)</p> Signup and view all the answers

How does a greater mass influence momentum when the velocity remains constant?

<p>It increases momentum linearly. (D)</p> Signup and view all the answers

What does the impressed force or impulse denote when applied to a body?

<p>It produces a change in the momentum of the body. (C)</p> Signup and view all the answers

What is the expression for force when the mass of a body is constant?

<p>F = ma (D)</p> Signup and view all the answers

What transforms the Second Law into a predictive tool?

<p>Using experimental observations of force laws. (B)</p> Signup and view all the answers

When applying a force continuously to a body, what is used to define instantaneous force?

<p>The limit as Δt approaches zero. (B)</p> Signup and view all the answers

What does acceleration represent in the context of Newton's Second Law?

<p>The rate of change of velocity of a body. (D)</p> Signup and view all the answers

In Newton’s Third Law, how do the forces between two interacting bodies behave?

<p>The forces are equal in magnitude and opposite in direction. (C)</p> Signup and view all the answers

What mathematical technique can be used to predict the future position of a body from its acceleration?

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

What is the product of mass and acceleration described as in the context of force?

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

Flashcards

Force direction (initial rest)

When a body starts at rest, the force's direction determines the body's motion direction.

Force and Motion (moving body)

If a body is already moving, a force can change both its speed and direction.

Force and Acceleration

Newton's law: Force is directly proportional to an object's acceleration.

Impressed Force

Force applied to an object to change its state of rest or motion.

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Inertial Mass

Constant of proportionality relating force and acceleration; measures an object's resistance to changes in motion.

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Quantity of Matter

Another name for inertial mass, related to density and volume.

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Force as a vector

Force has both magnitude and direction

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Measuring Force

Force (F) calculation: mass (m) multiplied by acceleration (a)

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Resultant Force

The single force that would have the same effect as two or more forces acting together.

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Force definition

Force is proportional to the mass of an object and its acceleration.

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Vector Addition of Acceleration

Accelerations add together as vectors (a = a1 + a2).

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Vector Addition of Forces

Forces add together as vectors (F = F1 + F2).

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Vector Components

A vector can be broken down into perpendicular components. Calculating the effect in a given direction

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Zero Net Force

A situation where multiple forces cancel each other out, resulting in no overall movement.

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Newton's First Law

An object at rest will stay at rest, and an object in motion will stay in motion at a constant velocity, unless acted upon by a net force.

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Momentum

The measure of an object's motion, taking both its mass and velocity into account.

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What is momentum's formula?

Momentum (p) equals mass (m) multiplied by velocity (v): p = mv

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Newton's Second Law

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

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How does force relate to motion change?

Force causes changes in an object's motion (either at rest or moving). It can make it speed up, slow down, or change direction.

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Force and direction

Force has direction - it can push or pull in a specific direction.

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What is a 'motive force'?

A force that causes a change in motion - think of it as the reason something starts moving, speeds up, or changes direction.

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Force application: gradual or sudden?

Force can be applied all at once or gradually over time, producing the same change in motion if the total force is equal.

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Inertia

The tendency of an object to resist changes in its motion (both speed and direction).

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What does it mean for a body to be 'at rest'?

A body is 'at rest' if its velocity is zero. This means it is not moving relative to a chosen reference frame.

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Uniform Motion

Motion at a constant speed in a straight line.

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Forces and Motion

Forces can change the motion of a body, causing it to accelerate or decelerate, or change its direction.

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Net Force

The total force acting on an object, considering the combined effect of all individual forces.

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Constant Velocity

Means the object is not accelerating. It can be at rest, or moving with a constant speed in a straight line.

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How can velocity change?

Velocity can change by changing the speed (magnitude) or direction of motion.

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Newton's Third Law

For every action, there is an equal and opposite reaction. When two objects interact, they exert forces of equal magnitude on each other in opposite directions.

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Interaction Pair

Two objects that exert forces on each other during an interaction.

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Action-Reaction Forces

The forces that two objects in an interaction pair exert on each other. They are equal in magnitude and opposite in direction.

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Newtonian Mechanics

A set of laws that describe the motion of objects, based on Newton's laws of motion and force laws.

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Limits of Newtonian Mechanics

Newtonian mechanics doesn't explain everything. It doesn't work well for objects traveling at speeds close to the speed of light (special relativity) or for the motion of electrons in atoms (quantum mechanics).

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Impulse

A measure of the change in momentum of an object caused by a force acting over a certain time interval.

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Impulse Equation

The impulse (I) equals the force (F) multiplied by the time interval (Δt) over which the force acts, also equal to the change in momentum (Δp).

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Continuous Force

A force that acts on an object constantly, unlike an impulsive force that acts briefly.

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Newton's Second Law (Instantaneous)

The total force acting on an object at any given time equals the rate of change of its momentum.

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Newton's Second Law (Constant Mass)

The force acting on an object with constant mass equals the product of its mass and acceleration.

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Force Laws

Rules that describe the forces between objects based on their properties and interactions, used to predict forces in real-world scenarios.

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Predicting Motion

Knowing an object's acceleration allows us to calculate its future velocity and position using integration techniques.

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Study Notes

Chapter 7: Newton's Laws of Motion

  • Force and Quantity of Matter: Newton's laws describe how forces affect motion.
  • Example 7.1 Vector Decomposition Solution: A problem example about combining forces.
  • 7.1.1 Mass Calibration: A method for measuring mass relative to a standard.
  • 7.2 Newton's First Law: A body at rest stays at rest, and a body in motion stays in motion with the same velocity unless acted upon by a net force. This is also known as the Law of Inertia.
  • 7.3 Momentum, Newton's Second Law and Third Law: Momentum is defined as the product of mass and velocity. Newton's second law states acceleration is directly proportional to the net force and inversely proportional to the mass. Newton's third law states that for every action, there is an equal and opposite reaction.
  • 7.4 Newton's Third Law: Action-Reaction Pairs: For every action, there's an equal and opposite reaction. Forces always come in pairs.

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