Work Done Formula:
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Definition: This equation calculates the work done when a force moves an object over a distance.
Purpose: It helps in physics and engineering to determine the energy transferred by a force acting on an object.
The equation uses the formula:
Where:
Explanation: Work is done when a force causes displacement. The work equals the force multiplied by the distance moved in the direction of the force.
Details: Calculating work helps understand energy requirements in mechanical systems, efficiency of machines, and energy conservation.
Tips: Enter the force in Newtons and distance in meters. Both values must be positive numbers.
Q1: What if the force isn't parallel to the movement?
A: Use only the component of force in the direction of movement: \( W = F \cdot d \cdot \cos(\theta) \).
Q2: What's the difference between work and power?
A: Work is energy transferred, while power is the rate of doing work (work per unit time).
Q3: Can work be negative?
A: Yes, when the force opposes the motion (like friction), work is negative.
Q4: What are typical Newton values in real applications?
A: 1 N ≈ weight of an apple. Human-scale forces range from 10s to 1000s of Newtons.
Q5: How does this relate to energy?
A: Work done equals energy transferred. 1 Joule of work = 1 Joule of energy transferred.