Answer :
To find the gravitational potential energy added to the brick, we use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object, which is 2.3 kg,
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is 9.8 m/s²,
- [tex]\( h \)[/tex] is the height to which the object is lifted, which is 1.9 m.
Let's break down the solution step by step:
1. Identify the given values:
- Mass [tex]\( m = 2.3 \)[/tex] kg
- Acceleration due to gravity [tex]\( g = 9.8 \)[/tex] m/s²
- Height [tex]\( h = 1.9 \)[/tex] m
2. Apply the formula for gravitational potential energy:
[tex]\[
\text{PE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m}
\][/tex]
3. Calculate the result:
[tex]\[
\text{PE} = 42.826 \, \text{J} \, (\text{approximately})
\][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 J, which corresponds to option C.
[tex]\[ \text{Potential Energy (PE)} = m \times g \times h \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the object, which is 2.3 kg,
- [tex]\( g \)[/tex] is the acceleration due to gravity, which is 9.8 m/s²,
- [tex]\( h \)[/tex] is the height to which the object is lifted, which is 1.9 m.
Let's break down the solution step by step:
1. Identify the given values:
- Mass [tex]\( m = 2.3 \)[/tex] kg
- Acceleration due to gravity [tex]\( g = 9.8 \)[/tex] m/s²
- Height [tex]\( h = 1.9 \)[/tex] m
2. Apply the formula for gravitational potential energy:
[tex]\[
\text{PE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m}
\][/tex]
3. Calculate the result:
[tex]\[
\text{PE} = 42.826 \, \text{J} \, (\text{approximately})
\][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 J, which corresponds to option C.
