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Forces and motion (Newton's laws)

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Lesson notes

Newton's First Law (Law of Inertia)

  • An object at rest stays at rest, and an object in motion stays in motion at constant speed in a straight line, unless acted upon by an unbalanced force.
  • This property of objects to resist changes in motion is called **inertia**.
  • A **balanced force** (net force = 0) does not change an object's motion; it may cause deformation or stress but no acceleration.
  • Examples: a book on a table stays at rest; a hockey puck sliding on ice slows down only due to friction (an unbalanced force).

Newton's Second Law (F = ma)

  • The **net force** on an object equals its mass times its acceleration: **Fnet = m × a**.
  • Acceleration is directly proportional to net force and inversely proportional to mass.
  • The direction of acceleration is the same as the direction of the net force.
  • Units: force in newtons (N), mass in kilograms (kg), acceleration in meters per second squared (m/s²). 1 N = 1 kg·m/s².

Newton's Third Law (Action-Reaction)

  • For every action force, there is an equal and opposite reaction force.
  • The two forces act on **different objects**, so they do not cancel each other out.
  • Examples: a rocket pushes exhaust gases downward (action), and the gases push the rocket upward (reaction); a person walking pushes backward on the ground, and the ground pushes forward on the person.

Balanced vs. Unbalanced Forces

  • **Balanced forces** are equal in size and opposite in direction; they result in no change in motion (zero acceleration).
  • **Unbalanced forces** cause a change in motion (acceleration).
  • When multiple forces act on an object, the **net force** is the vector sum of all forces.
  • If net force is zero, the object is either at rest or moving with constant velocity.

Mass vs. Weight

  • **Mass** is the amount of matter in an object; it is constant regardless of location.
  • **Weight** is the force of gravity on an object; it depends on mass and gravitational field strength (W = mg).
  • On Earth, g ≈ 9.8 m/s²; on the Moon, g ≈ 1.6 m/s², so weight changes but mass does not.
  • Weight is measured in newtons (N); mass is measured in kilograms (kg).

Friction and Air Resistance

  • **Friction** is a force that opposes motion between two surfaces in contact.
  • **Air resistance** (drag) is a type of friction that opposes motion through air.
  • Both friction and air resistance are **unbalanced forces** that cause objects to slow down.
  • Smooth surfaces and streamlined shapes reduce friction/air resistance.

Collisions and Momentum

  • **Momentum** is mass times velocity (p = mv); it is a vector quantity.
  • In a collision, the total momentum before equals total momentum after (conservation of momentum).
  • Newton's third law explains that forces during collisions are equal and opposite, causing momentum transfer.
  • Example: two ice skaters pushing apart move in opposite directions with equal momentum changes.

Particle arrangement in solids, liquids, and gases. Solids have fixed shape, liquids take shape of container, gases fill container.

Particle arrangementSolidLiquidGas

Slides

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Practice questions

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  1. 1.According to Newton's first law, an object at rest will remain at rest unless acted upon by a what?

    Easy
    • Aan unbalanced force
    • Ba balanced force
    • Cgravity
    • Dfriction
  2. 2.What does Newton's second law state about the relationship between force, mass, and acceleration?

    Easy
    • AForce equals mass times acceleration
    • BForce equals mass divided by acceleration
    • CAcceleration equals force times mass
    • DMass equals force times acceleration
  3. 3.Newton's third law says that for every action force there is an equal and opposite what?

    Easy
    • Areaction force
    • Bfriction force
    • Cnet force
    • Dunbalanced force
  4. 4.A 2 kg object accelerates at 3 m/s². What is the net force acting on it?

    Medium
    • A6 N
    • B1.5 N
    • C5 N
    • D0.67 N
  5. 5.Which of the following is an example of balanced forces?

    Medium
    • AA book resting on a table
    • BA car accelerating from a stop
    • CA ball falling through the air
    • DA rocket launching upward
  6. 6.During a collision, two objects exert forces on each other. According to Newton's third law, these forces have the same magnitude but opposite directions. What is the effect on their accelerations if one object has twice the mass of the other?

    Medium
    • AThe lighter object accelerates twice as much
    • BThe lighter object accelerates half as much
    • CBoth accelerate the same amount
    • DNeither accelerates
  7. 7.A 5 kg box is pushed with a force of 20 N. The friction force opposing motion is 5 N. What is the acceleration of the box?

    Hard
    • A3 m/s²
    • B4 m/s²
    • C5 m/s²
    • D15 m/s²
  8. 8.A 0.5 kg ball moving at 10 m/s hits a wall and rebounds at 10 m/s in the opposite direction. The collision lasts 0.2 s. What is the average force exerted on the ball by the wall?

    Hard
    • A50 N
    • B100 N
    • C0 N
    • D25 N

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