1. Work done by a constant force:
* W = F * d * cos(θ)
Where:
* W is the work done (measured in Joules, J)
* F is the magnitude of the force (measured in Newtons, N)
* d is the displacement of the object (measured in meters, m)
* θ is the angle between the force and the displacement vectors
2. Work done by a variable force:
* W = ∫ F(x) dx
Where:
* W is the work done (measured in Joules, J)
* F(x) is the force as a function of position (measured in Newtons, N)
* dx is an infinitesimal displacement (measured in meters, m)
* ∫ represents integration, which is used to calculate the work done over a specific distance
Key points to remember:
* Work is a scalar quantity, meaning it has magnitude but no direction.
* Work is done only when there is a displacement in the direction of the force. If the force is perpendicular to the displacement, no work is done.
* The unit of work is the Joule (J), which is equal to one Newton-meter (N·m).
Let me know if you want to explore any specific examples of work calculations.
