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计算力在位移方向上做的功W=Fd。
N
m
degrees
Work Done
500.00 J
Work Done vs Force
公式
Work Done by a Force
Work is the energy transferred when a force moves an object through a displacement.
Formula
W = F * d * cos(theta)
When the force is parallel to motion (theta = 0), all of the force contributes to work. At 90 degrees, no work is done.
计算示例
A 50 N force pushes a box 10 meters along the floor (angle = 0 degrees).
- 01W = F * d * cos(theta)
- 02W = 50 * 10 * cos(0°)
- 03W = 50 * 10 * 1
- 04W = 500 J
常见问题
Can work be negative?
Yes. When the angle between force and displacement exceeds 90 degrees, cos(theta) is negative, and the force removes energy from the object (e.g., friction).
What is the unit of work?
Work is measured in joules (J). One joule equals one newton-meter.
Is work a scalar or vector?
Work is a scalar quantity. It has magnitude but no direction, even though it is calculated from vector quantities.
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