To calculate the potential energy (PE) at point C, we can use the formula for gravitational potential energy:
\[ \text{PE} = m \cdot g \cdot h \]
where:
- \( m \) is the mass of the object in kilograms (kg)
- \( g \) is the acceleration due to gravity in meters per second squared (m/s²)
- \( h \) is the height above the ground in meters (m)
Given:
- Mass of the ball (\( m \)) = 200 grams = 0.200 kg (since 1 kg = 1000 grams)
- Height at point C (\( h \)) = 8 meters
- Acceleration due to gravity (\( g \)) = 9.8 m/s²
Step-by-step calculation:
-
Convert the mass to kg: \( 200 \text{ grams} = \frac{200}{1000} = 0.200 \text{ kg} \)
-
Plug the values into the formula: \[ \text{PE} = 0.200 , \text{kg} \cdot 9.8 , \text{m/s}^2 \cdot 8 , \text{m} \]
-
Calculate the potential energy: \[ \text{PE} = 0.200 \cdot 9.8 \cdot 8 \] \[ \text{PE} = 0.200 \cdot 78.4 \] \[ \text{PE} = 15.68 , \text{Joules} \]
Conclusion:
The potential energy at point C is 15.68 Joules.