Understanding the Work Done Formula in Physics

Learn how to express the formula for work done in physics: W = F × d × cos(θ).

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Work done (W) is expressed by the formula: W = F × d × cos(θ), where F is the force applied, d is the displacement, and θ is the angle between the force and the direction of displacement. This equation calculates the energy transferred when an object is moved by a force.

FAQs & Answers

  1. What does the formula W = F × d × cos(θ) represent? The formula W = F × d × cos(θ) represents the work done (W) by a force (F) when it moves an object through a distance (d). The term cos(θ) accounts for the angle (θ) between the force and the direction of displacement, which affects the effective component of the force that contributes to the work done.
  2. How do you calculate work done when the angle is 0°? When the angle θ is 0°, the formula simplifies to W = F × d, as cos(0°) equals 1. This means the force is applied in the exact direction of the displacement, maximizing the work done.
  3. Why is angle θ important in calculating work done? Angle θ is important because it determines how much of the applied force is directed along the displacement. If the angle is 90°, no work is done since cos(90°) equals 0, meaning the force is perpendicular to the movement.
  4. What units are used to measure work done? Work done is measured in joules (J) in the SI unit system, where 1 joule is the work done when a force of 1 newton displaces an object by 1 meter in the direction of the force.

Watch More

For further exploration into the principles of physics, particularly related to motion and force calculations, check out our additional resources. Delve into topics like 'Understanding Kinetic Energy', 'Introduction to Dynamics', and 'How Force Influences Motion', which will enhance your grasp of the fundamental concepts in physics.

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