Answer :
To find the gravitational potential energy added to a brick, we need to use the formula:
[tex]\[ \text{Gravitational Potential Energy} = m \cdot g \cdot h \][/tex]
Here's what each symbol represents:
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the object is lifted.
Given in the problem:
- Mass, [tex]\( m = 2.3 \)[/tex] kg
- Height, [tex]\( h = 1.9 \)[/tex] m
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s²
Now, we substitute these values into the formula:
[tex]\[ \text{Gravitational Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Carrying out the multiplication:
[tex]\[ \text{Gravitational Potential Energy} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ \text{Gravitational Potential Energy} \approx 42.8 \, \text{J} \][/tex]
Therefore, the gravitational potential energy added to the brick is approximately [tex]\( 42.8 \)[/tex] Joules. Thus, the correct answer is:
D. 42.8 J
[tex]\[ \text{Gravitational Potential Energy} = m \cdot g \cdot h \][/tex]
Here's what each symbol represents:
- [tex]\( m \)[/tex] is the mass of the object,
- [tex]\( g \)[/tex] is the acceleration due to gravity,
- [tex]\( h \)[/tex] is the height to which the object is lifted.
Given in the problem:
- Mass, [tex]\( m = 2.3 \)[/tex] kg
- Height, [tex]\( h = 1.9 \)[/tex] m
- Acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s²
Now, we substitute these values into the formula:
[tex]\[ \text{Gravitational Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Carrying out the multiplication:
[tex]\[ \text{Gravitational Potential Energy} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ \text{Gravitational Potential Energy} \approx 42.8 \, \text{J} \][/tex]
Therefore, the gravitational potential energy added to the brick is approximately [tex]\( 42.8 \)[/tex] Joules. Thus, the correct answer is:
D. 42.8 J
