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What is the energy of the 30 kg skateboarder at 2 m off the ground traveling at 3 m/s?

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1) The kinetic energy of an object is given by:

where m is the object's mass and v its speed.

By using this equation, we find the initial kinetic energy of the skateboarder:

and the final kinetic energy as well:


So, her change in kinetic energy is


2) The work-energy theorem states that the work done to increase the speed of an object is equal to the variation of kinetic energy of the object:

Therefore, the work done by the skateboarder is
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