Answer :
To find out how much gravitational potential energy is added to the brick, we need to use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how to solve the problem step by step:
1. Identify the mass of the brick: The mass is given as 2.3 kg.
2. Identify the height to which the brick is lifted: The height is given as 1.9 m.
3. Identify the acceleration due to gravity: The problem states that gravity, [tex]\( g \)[/tex], is 9.8 m/s².
4. Plug these values into the formula:
[tex]\[
\text{Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m}
\][/tex]
5. Calculate the result:
[tex]\[
\text{Potential Energy} = 42.8 \, \text{Joules}
\][/tex]
This means that when the brick is lifted to a height of 1.9 meters, the gravitational potential energy added to it is 42.8 J. Thus, the correct answer is C. 42.8 J.
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Here's how to solve the problem step by step:
1. Identify the mass of the brick: The mass is given as 2.3 kg.
2. Identify the height to which the brick is lifted: The height is given as 1.9 m.
3. Identify the acceleration due to gravity: The problem states that gravity, [tex]\( g \)[/tex], is 9.8 m/s².
4. Plug these values into the formula:
[tex]\[
\text{Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m}
\][/tex]
5. Calculate the result:
[tex]\[
\text{Potential Energy} = 42.8 \, \text{Joules}
\][/tex]
This means that when the brick is lifted to a height of 1.9 meters, the gravitational potential energy added to it is 42.8 J. Thus, the correct answer is C. 42.8 J.
