Question
What is the potential energy of a 15 kg cart that is resting at a height of 10 meters?
Answers
GPT-4o mini
The potential energy (PE) of an object at a height can be calculated using the formula:
\[
PE = m \cdot g \cdot h
\]
where:
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on the surface of the Earth),
- \( h \) is the height (in meters).
For a 15 kg cart resting at a height of 10 meters, the calculation would be:
\[
PE = 15 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \cdot 10 \, \text{m}
\]
Calculating this gives:
\[
PE = 15 \cdot 9.81 \cdot 10 = 1471.5 \, \text{Joules}
\]
Thus, the potential energy of the cart is \( \text{1471.5 Joules} \).
\[
PE = m \cdot g \cdot h
\]
where:
- \( m \) is the mass of the object (in kilograms),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on the surface of the Earth),
- \( h \) is the height (in meters).
For a 15 kg cart resting at a height of 10 meters, the calculation would be:
\[
PE = 15 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 \cdot 10 \, \text{m}
\]
Calculating this gives:
\[
PE = 15 \cdot 9.81 \cdot 10 = 1471.5 \, \text{Joules}
\]
Thus, the potential energy of the cart is \( \text{1471.5 Joules} \).