Work Formula:
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Energy transfer through work occurs when a force causes displacement of an object. The work-energy principle states that the net work done on an object equals its change in kinetic energy.
The calculator uses the work formula:
Where:
Explanation: The formula calculates the energy transferred when a force causes displacement. The cosine term accounts for the direction of force relative to displacement.
Details: Calculating energy transfer is fundamental in physics for understanding mechanical systems, energy conservation, and solving problems involving forces and motion.
Tips: Enter force in Newtons, displacement in meters, and angle in degrees. All values must be valid (force > 0, displacement > 0, angle between 0-180 degrees).
Q1: What does a negative work value mean?
A: Negative work indicates energy is being transferred from the object to the agent applying the force, such as when friction slows an object.
Q2: When is work maximized?
A: Work is maximized when the force is parallel to the displacement (θ = 0°, cosθ = 1).
Q3: What happens when force is perpendicular to displacement?
A: When θ = 90°, cosθ = 0, so no work is done despite the applied force.
Q4: How does this relate to kinetic energy?
A: The work-energy theorem states that the net work done on an object equals its change in kinetic energy.
Q5: Can this formula be used for variable forces?
A: For variable forces, work must be calculated using integration of force over the displacement path.