Mathematical formulas

Basic Physics

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1Vectors
21D Kinematics
32D and 3D Motion
4Newton's laws and forces
5Circular motion
6Work, energy and power
7Linear momentum, impulse and collisions
8Rotation
9Equilibrium and elasticity
10Gravitation
11Fluid mechanics
12Oscillations and periodic motion
13Waves
14Sound
15Thermodynamics
16Basic electricity
17Physical constants
18Guide to approaching a problem

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6. Work, energy and power

Work of a variable force

In

Formula

W = \int_{r_{1}}^{r_{2}} F \cdot d r

In one dimension

W = \int_{x_{1}}^{x_{2}} F_{x} (x) d x

Related formulas

Related
Work of a constant force
$W = F \cdot d = F d cos θ$
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Related
Kinetic energy
$K = \frac{1}{2} m v^{2}$
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Related
Force from potential energy
$F_{x} = - \frac{d U}{d x}$
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6. Work, energy and power

Subjects
Basic Physics
Work, energy and power
Work of a variable force