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Answer :
To find the gravitational potential energy added to the brick, you can use the formula for gravitational potential energy:
[tex]\[ \text{Gravitational Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how you can calculate it step-by-step:
1. Identify the mass of the brick:
The mass [tex]\( m \)[/tex] is given as 2.3 kg.
2. Identify the height the brick is lifted to:
The height [tex]\( h \)[/tex] is given as 1.9 meters.
3. Identify the acceleration due to gravity:
The acceleration due to gravity [tex]\( g \)[/tex] is 9.8 m/s².
4. 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]
5. Calculate the energy:
[tex]\[
\text{Gravitational Potential Energy} = 42.828 \, \text{Joules}
\][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 J.
The correct answer is C. 42.8 J.
[tex]\[ \text{Gravitational Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how you can calculate it step-by-step:
1. Identify the mass of the brick:
The mass [tex]\( m \)[/tex] is given as 2.3 kg.
2. Identify the height the brick is lifted to:
The height [tex]\( h \)[/tex] is given as 1.9 meters.
3. Identify the acceleration due to gravity:
The acceleration due to gravity [tex]\( g \)[/tex] is 9.8 m/s².
4. 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]
5. Calculate the energy:
[tex]\[
\text{Gravitational Potential Energy} = 42.828 \, \text{Joules}
\][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 J.
The correct answer is C. 42.8 J.
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