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Answer :
To find the gravitational potential energy (GPE) added to the brick, we can use the formula for gravitational potential energy:
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Let's solve it step-by-step:
1. Identify the variables:
- Mass ([tex]\(m\)[/tex]) = 2.3 kg
- Height ([tex]\(h\)[/tex]) = 1.9 m
- Acceleration due to gravity ([tex]\(g\)[/tex]) = 9.8 m/s²
2. 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]
3. Calculate the GPE:
- First, multiply the mass by gravity:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
- Next, multiply the result by the height:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
The gravitational potential energy added to the brick is approximately 42.8 Joules.
So, the correct answer is B. 42.8 J.
[tex]\[ \text{GPE} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Let's solve it step-by-step:
1. Identify the variables:
- Mass ([tex]\(m\)[/tex]) = 2.3 kg
- Height ([tex]\(h\)[/tex]) = 1.9 m
- Acceleration due to gravity ([tex]\(g\)[/tex]) = 9.8 m/s²
2. 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]
3. Calculate the GPE:
- First, multiply the mass by gravity:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
- Next, multiply the result by the height:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
The gravitational potential energy added to the brick is approximately 42.8 Joules.
So, the correct answer is B. 42.8 J.
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