🔋college physics i – introduction review

key term - Work-energy theorem

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Definition

The work-energy theorem states that the net work done by forces on an object is equal to the change in its kinetic energy. It is a fundamental principle connecting the concepts of work and energy.

5 Must Know Facts For Your Next Test

  1. The mathematical expression for the work-energy theorem is $W_{\text{net}} = \Delta KE = KE_f - KE_i$, where $W_{\text{net}}$ is the net work, $KE_f$ is the final kinetic energy, and $KE_i$ is the initial kinetic energy.
  2. In rotational motion, the work-energy theorem can be applied using rotational kinetic energy, represented as $\frac{1}{2} I \omega^2$, where $I$ is the moment of inertia and $\omega$ is the angular velocity.
  3. The work done by a constant force can be calculated using $W = Fd \cos(\theta)$, where $F$ is the force, $d$ is the displacement, and $\theta$ is the angle between the force and displacement vectors.
  4. If no net external work acts on a system, its total mechanical energy (kinetic plus potential) remains constant.
  5. In real-world scenarios, non-conservative forces like friction often cause some of the mechanical energy to transform into other forms of energy like heat.

Review Questions

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