Answer :
To find out how much gravitational potential energy is added to the brick, we can use the formula for gravitational potential energy:
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Where:
- The mass of the brick is [tex]\(2.3 \, \text{kg}\)[/tex].
- The height the brick is lifted to is [tex]\(1.9 \, \text{m}\)[/tex].
- The acceleration due to gravity is [tex]\(9.8 \, \text{m/s}^2\)[/tex].
Now, substituting these values into the formula, we have:
[tex]\[ \text{Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculating step-by-step:
1. First, multiply the mass [tex]\(2.3 \, \text{kg}\)[/tex] by gravity [tex]\(9.8 \, \text{m/s}^2\)[/tex]:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
2. Next, multiply the result by the height [tex]\(1.9 \, \text{m}\)[/tex]:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
The calculated gravitational potential energy is approximately [tex]\(42.83 \, \text{J}\)[/tex].
Therefore, the correct answer is A. 42.8 J.
[tex]\[ \text{Potential Energy} = \text{mass} \times \text{gravity} \times \text{height} \][/tex]
Where:
- The mass of the brick is [tex]\(2.3 \, \text{kg}\)[/tex].
- The height the brick is lifted to is [tex]\(1.9 \, \text{m}\)[/tex].
- The acceleration due to gravity is [tex]\(9.8 \, \text{m/s}^2\)[/tex].
Now, substituting these values into the formula, we have:
[tex]\[ \text{Potential Energy} = 2.3 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 1.9 \, \text{m} \][/tex]
Calculating step-by-step:
1. First, multiply the mass [tex]\(2.3 \, \text{kg}\)[/tex] by gravity [tex]\(9.8 \, \text{m/s}^2\)[/tex]:
[tex]\[ 2.3 \times 9.8 = 22.54 \][/tex]
2. Next, multiply the result by the height [tex]\(1.9 \, \text{m}\)[/tex]:
[tex]\[ 22.54 \times 1.9 = 42.826 \][/tex]
The calculated gravitational potential energy is approximately [tex]\(42.83 \, \text{J}\)[/tex].
Therefore, the correct answer is A. 42.8 J.
