Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4 order the objects from greatest to least potential energy. a 80 - gra…

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

Explanation:

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.

Answer:

  1. A 280 - gram shoe on a pitcher's foot
  2. A 140 - gram baseball hit over the pitcher's head
  3. A 80 - gram cap on a pitcher's head
  4. A 2 - gram piece of gum in the pitcher's mouth