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Newton’s First Law of Motion (Law of Inertia) Simplified Revision Notes

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Newton's First Law of Motion (Law of Inertia)

1. What is Inertia?

  • Inertia is the tendency of an object to resist any change in its motion.
  • An object will:
    • Remain at rest if it is already at rest.
    • Continue moving in the same direction at a constant velocity unless acted on by an external force.
  • Inertia depends on mass: The greater the mass, the greater the inertia.

2. Newton's First Law of Motion

  • Statement:

    • An object will remain at rest or move at a constant velocity in a straight line unless acted upon by a net external force.
  • Mathematical expression: Fnet=0Na=0 m/s2F_{\text{net}} = 0N \Rightarrow a = 0 \text{ m/s}^2

    • If the net force is zero, there is no acceleration, and motion remains unchanged.
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3. Example of Inertia

  • A box in the boot of a car moves forward when the car brakes.
  • The box resists the change in motion and continues moving in the original direction.
  • Seatbelts prevent passengers from continuing forward due to inertia.
infoNote

4. Worked Example

A Trolley Moving with Constant Velocity

  1. A man pushes a trolley along a horizontal floor with a constant velocity.
  • Mass of trolley and load: 56 kg
  • Friction force: 2.1 N
  • Since velocity is constant, acceleration is zero, so: Fpush=Ffriction=2.1NF_{\text{push}} = F_{\text{friction}} = 2.1N
  1. If he increases the applied force to 2.5 N, calculate the acceleration.
  • Net force: Fnet=2.5N2.1N=0.4NF_{\text{net}} = 2.5N - 2.1N = 0.4N

  • Using Newton's Second Law: a=Fnetm=0.456=7.14×103 m/s2a = \frac{F_{\text{net}}}{m} = \frac{0.4}{56} = 7.14 \times 10^{-3} \text{ m/s}^2

  • Acceleration = 7.14 × 10⁻³ m/s² forward.

5. Key Takeaways

  • Objects resist changes in motion due to inertia.
  • Greater mass = greater inertia.
  • Newton's First Law applies when the net force is zero.
  • If a net force is applied, the object accelerates in the direction of the force.
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