Answer :
To find the gravitational potential energy (GPE) added to a brick, we use the formula:
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Let's break down the calculation step-by-step:
1. Identify the mass of the brick:
- The mass given is 2.3 kg.
2. Identify the height to which the brick is lifted:
- The height given is 1.9 m.
3. Use the acceleration due to gravity:
- The acceleration due to gravity is 9.8 m/s².
4. Plug the values into the formula:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
5. Calculate the result:
[tex]\[ \text{GPE} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ \text{GPE} = 42.826 \, \text{Joules (rounded to 42.8 J)} \][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 Joules. The correct answer is B. 42.8 J.
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Let's break down the calculation step-by-step:
1. Identify the mass of the brick:
- The mass given is 2.3 kg.
2. Identify the height to which the brick is lifted:
- The height given is 1.9 m.
3. Use the acceleration due to gravity:
- The acceleration due to gravity is 9.8 m/s².
4. Plug the values into the formula:
[tex]\[ \text{GPE} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
5. Calculate the result:
[tex]\[ \text{GPE} = 2.3 \times 9.8 \times 1.9 \][/tex]
[tex]\[ \text{GPE} = 42.826 \, \text{Joules (rounded to 42.8 J)} \][/tex]
Therefore, the gravitational potential energy added to the brick is approximately 42.8 Joules. The correct answer is B. 42.8 J.
