Work And Energy Basic Concepts Related To Constant And Variable Forces Kinetic Energy
Concepts on Work done by Constant Force:
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Work Done By Variable Forces: is the sum of the work done by the constant force and the variable force.
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Scalar Product: is a mathematical operation that takes two vectors as inputs and produces a single number as output. It is also known as the dot product.
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Dot Product: is defined as the product of the magnitudes of the two vectors and the cosine of the angle between them.
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Dot Product in Components Form: $$ \vec{A} \cdot \vec{B} = A_x B_x + A_y B_y + A_z B_z $$
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Work Done with variable Force acting at an Angle: If the force acting on an object is variable in magnitude and/or direction, the work done can be calculated using the following equation: $$W = \int_s \vec{F} \cdot d\vec{r}$$
Kinetic Energy:
- Work-Energy theorem: It states that the net work done on an object is equal to its change in kinetic energy. That is: $$W_{net} = \Delta K$$
