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Cheat Sheet: Force and Laws of Motion

Introduction

Force: Push/pull that changes motion state, speed, direction, or shape. 
Not visible, but effects are (e.g., ball moves when kicked).

Balanced and Unbalanced Forces

Balanced and Unbalanced Forces

Friction: Opposes motion (e.g., bicycle slows when not pedaling).

Galileo's Observation

  • Objects move forever on frictionless surface if no unbalanced force.
  • Rest not natural; uniform motion is (if no net force).

Newton's Laws of Motion

Newton`s Laws of Motion

Inertia

Resistance to motion change. 
Types: Rest (stationary), Motion (moving), Direction. 
Mass measures inertia (more mass → more inertia).

Momentum

p = m × v (vector). Second law: F = Δp / Δt = m(v - u)/t = ma.
Unit: kg m/s. Larger mass/velocity → larger momentum.

Conservation of Momentum

Total momentum before = after (isolated system, no external force).
Example: Gun recoil - Bullet forward momentum = Gun backward momentum.
Formula: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

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FAQs on Cheat Sheet: Force and Laws of Motion

1. What are balanced and unbalanced forces?
Ans. Balanced forces are two or more forces acting on an object that are equal in size but opposite in direction, resulting in no change in the object's motion. Unbalanced forces occur when the forces acting on an object are not equal, causing the object to accelerate in the direction of the net force.
2. How did Galileo's observations contribute to our understanding of motion?
Ans. Galileo's observations revealed that objects in motion tend to stay in motion unless acted upon by an external force. He demonstrated that the motion of falling objects is independent of their mass, challenging the prevailing beliefs of his time that heavier objects fall faster.
3. What are Newton's Laws of Motion?
Ans. Newton's Laws of Motion are three fundamental principles that describe the relationship between the motion of an object and the forces acting on it. The first law states that an object at rest stays at rest and an object in motion stays in motion unless acted upon by a net external force (law of inertia). The second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The third law states that for every action, there is an equal and opposite reaction.
4. What is inertia and how does it relate to motion?
Ans. Inertia is the property of an object to resist changes in its state of motion. An object at rest will remain at rest, and an object in motion will continue moving in a straight line at a constant speed unless acted upon by an external force. Inertia is directly related to the mass of the object; the greater the mass, the greater the inertia.
5. What is momentum and how is it conserved in a closed system?
Ans. Momentum is the product of an object's mass and its velocity, represented mathematically as p = mv. In a closed system, where no external forces act, the total momentum before an event (such as a collision) is equal to the total momentum after the event. This principle is known as the conservation of momentum, indicating that momentum cannot be created or destroyed, only transferred between objects.
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