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Question
complete the questions below. please write in complete sentences. 1. when does the skater have the highest potential energy? 2. when does the skater have the highest kinetic energy? 3. what is the relationship between potential energy, kinetic energy, and speed as the skater moves down and up the u - shaped ramp?
Step1: Recall potential energy formula
Potential energy $PE = mgh$, where $m$ is mass, $g$ is gravitational - acceleration, and $h$ is height. Higher height means higher potential energy.
Step2: Recall kinetic energy formula
Kinetic energy $KE=\frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is speed. Higher speed means higher kinetic energy.
Step3: Analyze energy conversion on U - ramp
As the skater moves down the U - shaped ramp, potential energy is converted into kinetic energy. As the skater moves up the ramp, kinetic energy is converted into potential energy.
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- The skater has the highest potential energy at the highest point on the U - shaped ramp.
- The skater has the highest kinetic energy at the lowest point (bottom) of the U - shaped ramp.
- As the skater moves down the U - shaped ramp, potential energy decreases and kinetic energy increases, and the speed increases. As the skater moves up the U - shaped ramp, kinetic energy decreases and potential energy increases, and the speed decreases.