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Question
4 order the objects from greatest to least potential energy. a 80 - gram cap on a pitchers head a 280 - gram shoe on a pitchers foot a 140 - gram baseball hit over the pitchers head a 2 - gram piece of gum in the pitchers mouth greatest potential energy
Step1: Recall potential - energy formula
The gravitational potential energy formula is $PE = mgh$, where $m$ is mass, $g$ is the acceleration due to gravity (constant near the Earth's surface), and $h$ is height. Assuming the height of the pitcher's head, foot, and the ball's height above the head are comparable in a reasonable context, the potential energy is mainly determined by mass.
Step2: Compare masses
The masses are: cap ($m_1 = 80$ g), shoe ($m_2=280$ g), baseball ($m_3 = 140$ g), piece of gum ($m_4 = 2$ g).
Step3: Order by mass
Since $280>140 > 80>2$, the order of potential - energy from greatest to least is based on the mass order.
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- A 280 - gram shoe on a pitcher's foot
- A 140 - gram baseball hit over the pitcher's head
- A 80 - gram cap on a pitcher's head
- A 2 - gram piece of gum in the pitcher's mouth