5.2.1 Work Done

• What is Work Done?

  Work Done is the measure of energy transferred when a force acts on an object and causes it to move.
• How is Work Done calculated?

  It is calculated as the product of the force applied and the distance over which the force is applied.
• What is the formula for Work Done?

  • Work Done (W) = Force (F) × Distance (d) × cos(θ)
  • Where:
  • Force (F) is in Newtons (N)
  • Distance (d) is in meters (m)
  • θ is the angle between the force and movement direction
• What happens when the force is applied in the same direction as the movement?

  θ is 0 degrees and cos(θ) is 1, simplifying the formula to Work Done = Force × Distance.
• In what unit is Work Done measured?

  Work Done is measured in Joules (J).
• What is 1 Joule equivalent to in terms of force and distance?

  1 Joule is the amount of work done when a force of 1 Newton moves an object 1 meter in the direction of the force.
• What is the Work Done when a force of 50 N moves a box 5 meters?

  • Work Done: W = F × d
  • Calculation: W = 50 N × 5 m = 250 J
• How do you calculate Work Done when a force is applied at an angle?

  • Use the formula: W = F × d × cos(θ)
  • Example: For a force of 30 N at 30 degrees over 10 meters:
  • W = 30 N × 10 m × cos(30°) = 259.8 J
• What are some contexts in which Work Done occurs?

  • Lifting an Object: Work done against gravity.
  • Moving a Vehicle: Work done to overcome friction and air resistance.
• How does Work Done relate to energy transfer?

  • Work Done transfers energy from one form to another:
  • Increases kinetic energy when moving an object.
  • Increases gravitational potential energy when lifting an object.
• What is the relationship between Work Done and Power?

  Power is the rate at which work is done, calculated using Power (P) = Work Done (W) / Time (t).
• What is the summary of Work Done?

  • Work Done = Force × Distance × cos(θ)
  • Units: Joules (J)
  • Context: Involves energy transfer; lifting, moving, or applying forces.
  • Power is the rate of doing work.