Answer :
To determine how much gravitational potential energy (GPE) is added to the brick, we can use the formula for gravitational potential energy:
[tex]\[ E_{\text{potential}} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity, and
- [tex]\( h \)[/tex] is the height the brick is lifted.
Given:
- Mass [tex]\( m = 2.3 \)[/tex] kg,
- Acceleration due to gravity [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex],
- Height [tex]\( h = 1.9 \)[/tex] m.
Now, substitute these values into the formula:
[tex]\[ E_{\text{potential}} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculate the result:
[tex]\[ E_{\text{potential}} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ E_{\text{potential}} \approx 42.826 \, \text{J} \][/tex]
So, the gravitational potential energy added to the brick is approximately 42.8 J (when rounded to one decimal place).
Therefore, the correct answer is:
D. 42.8 J
[tex]\[ E_{\text{potential}} = m \cdot g \cdot h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the brick,
- [tex]\( g \)[/tex] is the acceleration due to gravity, and
- [tex]\( h \)[/tex] is the height the brick is lifted.
Given:
- Mass [tex]\( m = 2.3 \)[/tex] kg,
- Acceleration due to gravity [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex],
- Height [tex]\( h = 1.9 \)[/tex] m.
Now, substitute these values into the formula:
[tex]\[ E_{\text{potential}} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculate the result:
[tex]\[ E_{\text{potential}} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ E_{\text{potential}} \approx 42.826 \, \text{J} \][/tex]
So, the gravitational potential energy added to the brick is approximately 42.8 J (when rounded to one decimal place).
Therefore, the correct answer is:
D. 42.8 J
